:@
ARTICLE{Bagchi08LBTNormPseudoMnf,
author = {Bhaskar Bagchi and Basudeb Datta},
title = {{L}ower bound theorem for normal pseudomanifolds},
journal = {Expo. Math.},
year = {
2008},
volume = {
26},
pages = {
327--
351},
number = {
4},
fjournal = {Expositiones Mathematicae},
}
@
article{BDSSSepIndex,
author = {Benjamin A. Burton and Basudeb Datta and Nitin Singh and Jonathan Spreer},
title = {Separation index of graphs and stacked
2-spheres},
journal = {J. Combin. Theory Ser. A},
fjournal = {
Journal of Combinatorial Theory, Series A},
volume = {
136},
pages = {
184--
197},
url = {
https://doi.org/10.
1016/j.jcta.
2015.
07.
001},
year = {
2015}
}
@
article {Conder09RegMapsOfBdChi,
AUTHOR = {Conder, Marston D. E.},
TITLE = {Regular maps and hypermaps of {E}uler characteristic {$-
1$} to
{$-
200$}},
JOURNAL = {J. Combin. Theory Ser. B},
FJOURNAL = {
Journal of Combinatorial Theory. Series B},
VOLUME = {
99},
YEAR = {
2009},
NUMBER = {
2},
PAGES = {
455--
459},
}
@
article {Benedetti13RandomDMT,
AUTHOR = {Benedetti, Bruno and Lutz, Frank H.},
TITLE = {Random discrete {M}orse theory and a new library of
triangulations},
JOURNAL = {Exp. Math.},
FJOURNAL = {Experimental Mathematics},
VOLUME = {
23},
YEAR = {
2014},
NUMBER = {
1},
PAGES = {
66--
94},
}
@MISC{Paixao143SphereRec,
author = {Paix{
\~a}o, J. and Spreer, J.},
title = {Random collapsibility and
3-sphere recognition},
year = {
2015},
howpublished = {
\texttt{arXiv:
1509.
07607 [math.GT]}},
note = {Preprint,
18 pages,
6 figures}
}
@MISC{Bagchi16Tight3Mflds,
author = {B. Bagchi and B. Datta and J. Spreer},
title = {A characterization of tightly triangulated
3-manifolds}
year = {
2016},
howpublished = {
\texttt{arXiv:
1601.
00065 [math.GT]}},
note = {Preprint,
6 pages,
2 figures}
}
@inproceedings {Wilson96UST,
AUTHOR = {Wilson, David Bruce},
TITLE = {Generating random spanning trees more quickly than the cover
time},
BOOKTITLE = {Proceedings of the {T}wenty-eighth {A}nnual {ACM} {S}ymposium
on the {T}heory of {C}omputing ({P}hiladelphia, {PA},
1996)},
PAGES = {
296--
303},
PUBLISHER = {ACM, New York},
YEAR = {
1996},
}
@
ARTICLE{Engstroem09DiscMorseFuncFourierTrans,
author = {Engstr{
\"o}m, Alexander},
title = {Discrete {M}orse functions from {F}ourier transforms},
journal = {Experiment. Math.},
year = {
2009},
volume = {
18},
pages = {
45--
53},
number = {
1},
fjournal = {Experimental Mathematics},
}
@
ARTICLE{Sparla99LBTComb2kMnf,
author = {Eric Sparla},
title = {{A} new lower bound theorem for combinatorial {$
2k$}-manifolds},
journal = {Graphs Combin.},
year = {
1999},
volume = {
15},
pages = {
109--
125},
number = {
1},
fjournal = {Graphs and Combinatorics},
}
@
article {Klee11CentSymmMnfFewVert,
AUTHOR = {Klee, Steven and Novik, Isabella},
TITLE = {Centrally symmetric manifolds with few vertices},
JOURNAL = {Adv. Math.},
FJOURNAL = {Advances in Mathematics},
VOLUME = {
229},
YEAR = {
2012},
NUMBER = {
1},
PAGES = {
487--
500},
}
@
article {Bagchi08OnWalkupKd,
AUTHOR = {Bagchi, Bhaskar and Datta, Basudeb},
TITLE = {{On Walkup
's class $\mathcal K(d)$ and a minimal triangulation of $(S^3 \dtimes S^1)^{\#3}$}},
JOURNAL = {Discrete Math.},
FJOURNAL = {Discrete Mathematics},
VOLUME = {
311},
YEAR = {
2011},
NUMBER = {
12},
PAGES = {
989--
995},
}
@
ARTICLE{Banchoff65TightEmb3DimPolyMnf,
author = {Thomas F. Banchoff},
title = {{T}ightly embedded {$
2$}-dimensional polyhedral manifolds},
journal = {Amer. J. Math.},
year = {
1965},
volume = {
87},
pages = {
462--
472},
fjournal = {American
Journal of Mathematics},
}
@
ARTICLE{Banchoff74TightPolyKBProjPMB,
author = {Thomas F. Banchoff},
title = {{T}ight polyhedral {K}lein bottles, projective planes, and {M}
\"obius
bands},
journal = {Math. Ann.},
year = {
1974},
volume = {
207},
pages = {
233--
243},
fjournal = {Mathematische Annalen},
}
@INCOLLECTION{Banchoff97TightSubmSmoothPoly,
author = {Thomas F. Banchoff and Wolfgang K{
\"u}hnel},
title = {{T}ight submanifolds, smooth and polyhedral},
booktitle = {Tight and taut submanifolds ({B}erkeley, {CA},
1994)},
publisher = {Cambridge Univ. Press},
year = {
1997},
volume = {
32},
series = {Math. Sci. Res. Inst. Publ.},
pages = {
51--
118},
address = {Cambridge},
}
@
ARTICLE{HomAlg,
author = {Barakat, Mohamed and Robertz, Daniel},
title = {{
\tt homalg}: a meta-package for homological algebra},
journal = {J. Algebra Appl.},
year = {
2008},
volume = {
7},
pages = {
299--
317},
number = {
3},
doi = {
10.
1142/S0219498808002813},
fjournal = {
Journal of Algebra and its Applications},
url = {
https://doi.org/10.
1142/S0219498808002813}
}
@
ARTICLE{Bjoerner00SimplMnfBistellarFlips,
author = {Anders Bj{
\"o}rner and Frank H. Lutz},
title = {{S}implicial manifolds, bistellar flips and a
16-vertex triangulation
of the {P}oincar{
\'e} homology
3-sphere},
journal = {Experiment. Math.},
year = {
2000},
volume = {
9},
pages = {
275--
289},
number = {
2},
fjournal = {Experimental Mathematics},
}
@
ARTICLE{Datta07MinTrigManifolds,
author = {Basudeb Datta},
title = {{M}inimal triangulations of manifolds},
journal = {J. Indian Inst. Sci.},
year = {
2007},
volume = {
87},
pages = {
429--
449},
number = {
4},
fjournal = {
Journal of the Indian Institute of Science. A Multidisciplinary Reviews
Journal},
}
@MISC{Dumas04Homology,
author = {J.-G. Dumas and F. Heckenbach and B. D. Saunders and V. Welker},
title = {{S}implicial {H}omology, v.
1.
4.
5},
howpublished = {{
\url{
http://www.cis.udel.edu/~dumas/Homology/}}},
year = {
2001--
2011},
url = {
http://www.cis.udel.edu/~dumas/Homology/}
}
@INCOLLECTION{Desbrun08DiscDiffFormCompModel,
author = {Mathieu Desbrun and Eva Kanso and Yiying Tong},
title = {{D}iscrete differential forms for computational modeling},
booktitle = {Discrete differential geometry},
publisher = {Birkh
\"auser},
year = {
2008},
volume = {
38},
series = {Oberwolfach Semin.},
pages = {
287--
324},
address = {Basel},
}
@
ARTICLE{Effenberger09StackPolyTightTrigMnf,
author = {Felix Effenberger},
title = {{S}tacked polytopes and tight triangulations of manifolds},
journal = {
Journal of Combinatorial Theory, Series A},
year = {
2011},
volume = {
118},
pages = {
1843 -
1862},
number = {
6},
doi = {DOI:
10.
1016/j.jcta.
2011.
03.
003},
}
@
BOOK{Effenberger10Diss,
title = {{H}amiltonian submanifolds of regular polytopes},
publisher = {Logos Verlag, Berlin},
year = {
2011},
author = {Felix Effenberger},
note = {Dissertation, University of Stuttgart,
2010},
}
@incollection{Forman95DiscrMorseTheoryCellCompl,
AUTHOR = {Robin Forman},
TITLE = {A discrete {M}orse theory for cell complexes},
BOOKTITLE = {Geometry, topology,
\& physics},
SERIES = {Conf. Proc. Lecture Notes Geom. Topology, IV},
PAGES = {
112--
125},
PUBLISHER = {Int. Press, Cambridge, MA},
YEAR = {
1995},
}
@
book {Huppert67EndlGruppen,
AUTHOR = {Huppert, Bertram},
TITLE = {Endliche {G}ruppen. {I}},
SERIES = {Die Grundlehren der Mathematischen Wissenschaften, Band
134},
PUBLISHER = {Springer-Verlag},
ADDRESS = {Berlin},
YEAR = {
1967},
PAGES = {xii+
793},
}
@INCOLLECTION{Joswig00Polymake,
author = {Ewgenij Gawrilow and Michael Joswig},
title = {polymake: a framework for analyzing convex polytopes},
booktitle = {Polytopes---combinatorics and computation (Oberwolfach,
1997)},
publisher = {Birkh{
\"a}user},
year = {
2000},
volume = {
29},
series = {DMV Sem.},
pages = {
43--
73},
address = {Basel}
}
@
BOOK{Gruenbaum03ConvPoly,
title = {{C}onvex polytopes},
publisher = {Springer-Verlag},
year = {
2003},
author = {Branko Gr{
\"u}nbaum},
volume = {
221},
pages = {xvi+
468},
series = {Graduate Texts in Mathematics},
address = {New York},
edition = {Second},
note = {Prepared and with a preface by Volker Kaibel, Victor Klee and G{
\"u}nter
M.
\ Ziegler},
isbn = {
0-
387-
00424-
6;
0-
387-
40409-
0}
}
@
BOOK{Hudson69PLTop,
title = {{P}iecewise linear topology},
publisher = {W. A. Benjamin, Inc., New York-Amsterdam},
year = {
1969},
author = {John F. P. Hudson},
pages = {ix+
282},
series = {University of Chicago Lecture Notes prepared with the assistance
of J. L. Shaneson and J. Lees}
}
@
ARTICLE{Kuehnel86HigherDimCsaszar,
author = {Wolfgang K{
\"u}hnel},
title = {{H}igher dimensional analogues of {C}s{
\'a}sz{
\'a}r
's torus},
journal = {Results Math.},
year = {
1986},
volume = {
9},
pages = {
95--
106}
}
@INCOLLECTION{Kuehnel94ManSkelConvPolyt,
author = {Wolfgang K{
\"u}hnel},
title = {{M}anifolds in the skeletons of convex polytopes, tightness, and
generalized {H}eawood inequalities},
booktitle = {Polytopes:
abstract, convex and computational (Scarborough, ON,
1993)},
publisher = {Kluwer Acad. Publ.},
year = {
1994},
volume = {
440},
series = {NATO Adv. Sci. Inst. Ser. C Math. Phys. Sci.},
pages = {
241--
247},
address = {Dordrecht}
}
@
BOOK{Kuehnel95TightPolySubm,
title = {{T}ight polyhedral submanifolds and tight triangulations},
publisher = {Springer-Verlag},
year = {
1995},
author = {Wolfgang K{
\"u}hnel},
volume = {
1612},
pages = {vi+
122},
series = {Lecture Notes in Mathematics},
address = {Berlin},
isbn = {
3-
540-
60121-X}
}
@
ARTICLE{Kuehnel99CensusTight,
author = {Wolfgang K{
\"u}hnel and Frank H. Lutz},
title = {{A} census of tight triangulations},
journal = {Period. Math. Hungar.},
year = {
1999},
volume = {
39},
pages = {
161--
183},
number = {
1-
3},
note = {{D}iscrete geometry and rigidity ({B}udapest,
1999)},
fjournal = {Periodica Mathematica Hungarica.
Journal of the J{
\'a}nos Bolyai Mathematical
Society},
}
@INCOLLECTION{Kuiper84GeomTotAbsCurvTheo,
author = {Nicolaas H. Kuiper},
title = {{G}eometry in total absolute curvature theory},
booktitle = {Perspectives in mathematics},
publisher = {Birkh{
\"a}user},
year = {
1984},
pages = {
377--
392},
address = {Basel}
}
@MISC{Lutz08ManifoldPage,
author = {Frank H. Lutz},
title = {{T}he {M}anifold {P}age},
howpublished = {{
\url{
http://www.math.tu-berlin.de/diskregeom/stellar}}},
url = {
http://www.math.tu-berlin.de/diskregeom/stellar/}
}
@PHDTHESIS{Lutz03TrigMnfFewVertVertTrans,
author = {Frank H. Lutz},
title = {{T}riangulated {M}anifolds with {F}ew {V}ertices and {V}ertex-{T}ransitive
{G}roup {A}ctions},
school = {TU Berlin},
year = {
2003},
}
@MISC{Lutz05TrigMnfFewVertCombMnf,
author = {Frank H. Lutz},
title = {{T}riangulated {M}anifolds with {F}ew {V}ertices: {C}ombinatorial
{M}anifolds},
howpublished = {{
\tt arXiv:math/
0506372v1 [math.CO]}, Preprint,
37 pages},
year = {
2005}
}
@
article{McKay84Nauty,
title =
"Practical graph isomorphism, \{II\} ",
journal =
"Journal of Symbolic Computation ",
volume =
"60",
number =
"0",
pages =
"94 - 112",
year =
"2014",
doi =
"https://doi.org/10.1016/j.jsc.2013.09.003",
url =
"http://www.sciencedirect.com/science/article/pii/S0747717113001193",
author =
"Brendan D. McKay and Adolfo Piperno"
}
@
BOOK{Milnor63MorseTheory,
title = {{M}orse theory},
publisher = {Princeton University Press},
year = {
1963},
author = {John W. Milnor},
pages = {vi+
153},
series = {Based on lecture notes by M. Spivak and R. Wells. Annals of Mathematics
Studies, No.
51},
address = {Princeton, N.J.},
}
@
ARTICLE{Pachner87KonstrMethKombHomeo,
author = {Udo Pachner},
title = {{K}onstruktionsmethoden und das kombinatorische {H}om
\"{o}omorphieproblem
f
\"{u}r {T}riangulierungen kompakter semilinearer {M}annigfaltigkeiten},
journal = {Abh. Math. Sem. Uni. Hamburg},
year = {
1987},
volume = {
57},
pages = {
69--
86},
}
@
BOOK{Ringel74MapColThm,
title = {{M}ap color theorem},
publisher = {Springer-Verlag},
year = {
1974},
author = {Gerhard Ringel},
pages = {xii+
191},
address = {New York},
note = {Die Grundlehren der mathematischen Wissenschaften, Band
209}
}
@MISC{Roeder07Polymaking,
author = {Marc R
\"{o}der},
title = {{GAP} package polymaking},
howpublished = {{
\url{
https://www.gap-system.org/Packages/polymaking.html}}},
year = {
2013},
url = {
https://www.gap-system.org/Packages/polymaking.html}
}
@
BOOK{Rourke72IntrPLTop,
title = {{I}ntroduction to piecewise-linear topology},
publisher = {Springer-Verlag},
year = {
1972},
author = {Colin P. Rourke and Brian J. Sanderson},
pages = {viii+
123},
address = {New York},
note = {Ergebnisse der Mathematik und ihrer Grenzgebiete, Band
69}
}
@
ARTICLE{Schulz94PolyhMnfPoly,
author = {Christoph Schulz},
title = {{P}olyhedral manifolds on polytopes},
journal = {Rend. Circ. Mat. Palermo (
2) Suppl.},
year = {
1994},
pages = {
291--
298},
number = {
35},
note = {First International Conference on Stochastic Geometry, Convex Bodies
and Empirical Measures (Palermo,
1993)},
fjournal = {Rendiconti del Circolo Matematico di Palermo. Serie II. Supplemento}
}
@MISC{Soicher06GRAPE,
author = {Leonard H. Soicher},
title = {{GRAPE - GRaph Algorithms using PErmutation groups}},
howpublished = {{
\url{
https://www.gap-system.org/Packages/grape.html}}},
year = {
2012},
note = {{Version
4.
6.
1}},
}
@
ARTICLE{Spreer09CombPorpsOfK3,
author = {Jonathan Spreer and Wolfgang K{
\"u}hnel},
title = {{C}ombinatorial properties of the {K}
3 surface: {S}implicial blowups
and slicings},
journal = {Experiment. Math.},
year = {
2011},
volume = {
20},
pages = {
201--
216},
number = {
2},
}
@PHDTHESIS{Spreer10Diss,
author = {J. Spreer},
title = {Blowups, slicings and permutation groups in combinatorial topology},
school = {University of Stuttgart},
year = {
2011},
note = {Ph.D. thesis},
pages = {
251},
publisher = {Logos Verlag Berlin},
}
@
ARTICLE{Spreer10NormSurfsCombSlic,
author = {Jonathan Spreer},
title = {{N}ormal surfaces as combinatorial slicings},
journal = {Discrete Math.},
year = {
2011},
volume = {
311},
pages = {
1295--
1309},
number = {
14},
note = {{
\tt doi:
10.
1016/j.disc.
2011.
03.
013}},
}
@
BOOK{Ziegler95LectPolytopes,
title = {{L}ectures on polytopes},
publisher = {Springer-Verlag},
year = {
1995},
author = {G{
\"u}nter M. Ziegler},
volume = {
152},
pages = {x+
370},
series = {Graduate Texts in Mathematics},
address = {New York},
isbn = {
0-
387-
94365-X}
}
@
article{Frohmader08FaceVecFlagCompl,
AUTHOR = {Frohmader, Andrew},
TITLE = {Face vectors of flag complexes},
JOURNAL = {Israel J. Math.},
FJOURNAL = {Israel
Journal of Mathematics},
VOLUME = {
164},
YEAR = {
2008},
PAGES = {
153--
164},
}
@
ARTICLE{Hirzebruch1953,
author = {Friedrich E. P. Hirzebruch},
title = {
\"Uber vierdimensionale Riemannsche Fl
\"achen mehrdeutiger analyti
\-scher
Funktionen von zwei komplexen Ver
\"anderlichen},
journal = {Math. Ann.},
year = {
1953},
volume = {
126},
pages = {
1 --
22},
}
@INCOLLECTION{Hauser2000,
author = {Herwig Hauser},
title = {Resolution of singularities
1860--
1999},
booktitle = {Resolution of singularities ({O}bergurgl,
1997)},
publisher = {Birkh
\"auser},
year = {
2000},
volume = {
181},
series = {Progr. Math.},
pages = {
5--
36},
address = {Basel},
}
@
ARTICLE{Hopf1951,
author = {Heinz Hopf},
title = {
\"{U}ber komplex-analytische {M}annigfaltigkeiten},
journal = {Univ. Roma. Ist. Naz. Alta Mat. Rend. Mat. e Appl. (
5)},
year = {
1951},
volume = {
10},
pages = {
169--
182}
}
@
ARTICLE{Spanier56HomKummerMnf,
author = {Edwin H. Spanier},
title = {{T}he homology of {K}ummer manifolds},
journal = {Proc. AMS},
year = {
1956},
volume = {
7},
pages = {
155--
160}
}
@Misc{M2,
author = {Grayson, Daniel R. and Stillman, Michael E.},
title = {Macaulay2, a software system for research
in algebraic geometry},
howpublished = {Available at
http://www.math.uiuc.edu/Macaulay2/}
}
@Misc{Adiprasito14RDMTII,
author = {K. Adiprasito, B. Benedetti, and F. H. Lutz},
title = {Random Discrete Morse Theory II and a Collapsible
5-Manifold Different from the
5-Bal
l.},
year = {2014},
howpublished = {{\tt arXiv:1404.4239 [math.CO]}, 20 pages, 6 figures, 2 tables}
}
@ARTICLE{Haken61TheoNormFl,
author = {Wolfgang Haken},
title = {{T}heorie der {N}ormalfl{\"a}chen},
journal = {Acta Math.},
year = {1961},
volume = {105},
pages = {245--375},
fjournal = {Acta Mathematica},
}
@book {Kirby77PLStructures,
AUTHOR = {Kirby, Robion C. and Siebenmann, Laurence C.},
TITLE = {Foundational essays on topological manifolds, smoothings, and
triangulations},
NOTE = {With notes by John Milnor and Michael Atiyah,
Annals of Mathematics Studies, No. 88},
PUBLISHER = {Princeton University Press, Princeton, N.J.; University of
Tokyo Press, Tokyo},
YEAR = {1977},
PAGES = {vii+355},
}
@ARTICLE{Kneser29ClosedSurfIn3Mflds,
author = {Hellmuth Kneser},
title = {{Geschlossene Fl\"{a}chen in dreidimensionalen Mannigfaltigkeiten}},
journal = {Jahresbericht der deutschen Mathematiker-Vereinigung},
year = {1929},
volume = {38},
pages = {248--260}
}
@ARTICLE{Casella01TrigK3MinNumVert,
author = {Mario Casella and Wolfgang K{\"u}hnel},
title = {{A} triangulated {$K3$} surface with the minimum number of vertices},
journal = {Topology},
year = {2001},
volume = {40},
pages = {753--772},
number = {4},
fjournal = {Topology. An International Journal of Mathematics},
}
@MISC{Spreer10SupplMatToBetaK,
author = {Jonathan Spreer},
howpublished = {{\tt arXiv:1009.2642v1 [math.CO]}, preprint, 12 pages, 1 figure},
pages = {459},
timestamp = {2010.07.06},
title = {{S}upplemental material to the article ``{P}artitioning the triangles of the cross polytope into surfaces''},
year = {2010}
}
@ARTICLE{Spreer10PartBetaK,
author = {J. Spreer},
title = {Partitioning the triangles of the cross polytope into surfaces},
journal = {{Beitr. Algebra Geom. / Contributions to Algebra and Geometry}},
year = {2012},
volume = {53},
pages = {473--486},
number = {2},
doi = {{doi:10.1007/s13366-011-0083-1}}
}
@MISC{Spreer12VarCyclPolytope,
author = {B. A. Burton and J. Spreer},
title = {Combinatorial Seifert fibred spaces with transitive cyclic automorphism
group},
year = {2014},
howpublished = {\texttt{arXiv:1404.3005 [math.GT]}},
note = {26 pages, 10 figures. To appear in Israel Journal of Mathematics}
}
@INPROCEEDINGS{Breuer98GAP4TypeSystem,
author = {Breuer, Thomas and Linton, Steve},
title = {The GAP 4 type system: organising algebraic algorithms},
booktitle = {Proceedings of the 1998 international symposium on Symbolic and algebraic
computation},
year = {1998},
series = {ISSAC '98},
pages = {38--45},
address = {New York, NY, USA},
publisher = {ACM},
acmid = {281540},
doi = {http://doi.acm.org/10.1145/281508.281540},
isbn = {1-58113-002-3},
location = {Rostock, Germany},
numpages = {8},
url = {http://doi.acm.org/10.1145/281508.281540}
}
@ARTICLE{Brehm09LatticeTrigE33Torus,
author = {Ulrich Brehm and Wolfgang K{\"u}hnel},
title = {Lattice triangulations of {$E^3$} and of the $3$-torus},
journal = {{Israel J. Math.}},
year = {2012},
volume = {189},
pages = {97--133},
fjournal = {{Israel Journal of Mathematics}}
}
@article{Brehm08EquivMapsTorus,
author = {Ulrich Brehm and Wolfgang K{\"u}hnel},
fjournal = {European Journal of Combinatorics},
issn = {0195-6698},
journal = {European J. Combin.},
number = {8},
pages = {1843--1861},
title = {{E}quivelar maps on the torus},
volume = {29},
year = {2008},
}
@article {Spreer11CyclicCombMflds,
AUTHOR = {Spreer, Jonathan},
TITLE = {Combinatorial 3-manifolds with transitive cyclic symmetry},
JOURNAL = {Discrete Comput. Geom.},
FJOURNAL = {Discrete \& Computational Geometry. An International Journal
of Mathematics and Computer Science},
VOLUME = {51},
YEAR = {2014},
NUMBER = {2},
PAGES = {394--426},
DOI = {10.1007/s00454-013-9560-7},
URL = {https://doi.org/10.1007/s00454-013-9560-7},
}
@MISC{regina,
author = {B. A. Burton and Ryan Budney and William Pettersson and others},
title = {Regina: normal surface and 3-manifold topology software, Version
4.97},
howpublished = {{\tt http:// style='color:turquoise'>\allowbreak regina.\allowbreak sourceforge.\allowbreak
net/}},
year = {1999--2014}
}
@misc{SnapPea,
author = {Jeff Weeks},
note = {\url{http://www.geometrygames.org/SnapPea/}},
title = {{S}nap{P}ea ({S}oftware for hyperbolic $3$-manifolds)},
year = {1999},
}
@misc{SnapPy,
author={Culler, Marc and Dunfield, Nathan M. and Weeks, Jeffrey R.},
title={Snap{P}y, a computer program for studying the topology of $3$-manifolds},
howpublished={Available at \url{http://snappy.computop.org}},
}