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A census of tetrahedral hyperbolic manifolds. / Fominykh, Evgeny; Garoufalidis, Stavros; Goerner, Matthias; Tarkaev, Vladimir; Vesnin, Andrei.

в: Experimental Mathematics, Том 25, № 4, 01.01.2016, стр. 466-481.

Результаты исследований: Научные публикации в периодических изданиях › статья › Рецензирование

Harvard

Fominykh, E, Garoufalidis, S, Goerner, M, Tarkaev, V & Vesnin, A 2016, 'A census of tetrahedral hyperbolic manifolds', Experimental Mathematics, Том. 25, № 4, стр. 466-481. https://doi.org/10.1080/10586458.2015.1114436

APA

Fominykh, E., Garoufalidis, S., Goerner, M., Tarkaev, V., & Vesnin, A. (2016). A census of tetrahedral hyperbolic manifolds. Experimental Mathematics, 25(4), 466-481. https://doi.org/10.1080/10586458.2015.1114436

Vancouver

Fominykh E, Garoufalidis S, Goerner M, Tarkaev V, Vesnin A. A census of tetrahedral hyperbolic manifolds. Experimental Mathematics. 2016 Янв. 1;25(4):466-481. https://doi.org/10.1080/10586458.2015.1114436

Author

Fominykh, Evgeny ; Garoufalidis, Stavros ; Goerner, Matthias ; Tarkaev, Vladimir ; Vesnin, Andrei. / A census of tetrahedral hyperbolic manifolds. в: Experimental Mathematics. 2016 ; Том 25, № 4. стр. 466-481.

BibTeX

@article{7566667953d24b199ca804689bbbcb56,
title = "A census of tetrahedral hyperbolic manifolds",
abstract = "We call a cusped hyperbolic 3-manifold tetrahedral if it can be decomposed into regular ideal tetrahedra. Following an earlier publication by three of the authors, we give a census of all tetrahedral manifolds and all of their combinatorial tetrahedral tessellations with at most 25 (orientable case) and 21 (non-orientable case) tetrahedra. Our isometry classification uses certified canonical cell decompositions (based onwork by Dunfield, Hoffman, and Licata) and isomorphism signatures (an improvement of dehydration sequences by Burton). The tetrahedral census comes in Regina as well as SnapPy format, and we illustrate its features.",
keywords = "Bianchi orbifolds, Census, Hyperbolic 3-manifolds, Regular ideal tetrahedron, Tetrahedral manifolds",
author = "Evgeny Fominykh and Stavros Garoufalidis and Matthias Goerner and Vladimir Tarkaev and Andrei Vesnin",
year = "2016",
month = jan,
day = "1",
doi = "10.1080/10586458.2015.1114436",
language = "English",
volume = "25",
pages = "466--481",
journal = "Experimental Mathematics",
issn = "1058-6458",
publisher = "Taylor & Francis",
number = "4",

}

RIS

TY - JOUR

T1 - A census of tetrahedral hyperbolic manifolds

AU - Fominykh, Evgeny

AU - Garoufalidis, Stavros

AU - Goerner, Matthias

AU - Tarkaev, Vladimir

AU - Vesnin, Andrei

PY - 2016/1/1

Y1 - 2016/1/1

N2 - We call a cusped hyperbolic 3-manifold tetrahedral if it can be decomposed into regular ideal tetrahedra. Following an earlier publication by three of the authors, we give a census of all tetrahedral manifolds and all of their combinatorial tetrahedral tessellations with at most 25 (orientable case) and 21 (non-orientable case) tetrahedra. Our isometry classification uses certified canonical cell decompositions (based onwork by Dunfield, Hoffman, and Licata) and isomorphism signatures (an improvement of dehydration sequences by Burton). The tetrahedral census comes in Regina as well as SnapPy format, and we illustrate its features.

AB - We call a cusped hyperbolic 3-manifold tetrahedral if it can be decomposed into regular ideal tetrahedra. Following an earlier publication by three of the authors, we give a census of all tetrahedral manifolds and all of their combinatorial tetrahedral tessellations with at most 25 (orientable case) and 21 (non-orientable case) tetrahedra. Our isometry classification uses certified canonical cell decompositions (based onwork by Dunfield, Hoffman, and Licata) and isomorphism signatures (an improvement of dehydration sequences by Burton). The tetrahedral census comes in Regina as well as SnapPy format, and we illustrate its features.

KW - Bianchi orbifolds

KW - Census

KW - Hyperbolic 3-manifolds

KW - Regular ideal tetrahedron

KW - Tetrahedral manifolds

UR - http://www.scopus.com/inward/record.url?scp=84968547400&partnerID=8YFLogxK

U2 - 10.1080/10586458.2015.1114436

DO - 10.1080/10586458.2015.1114436

M3 - Article

AN - SCOPUS:84968547400

VL - 25

SP - 466

EP - 481

JO - Experimental Mathematics

JF - Experimental Mathematics

SN - 1058-6458

IS - 4

ER -

ID: 40113059