dc.contributor.author |
KALELKAR, TEJAS |
en_US |
dc.contributor.author |
RAGHUNATH, SRIRAM |
en_US |
dc.date.accessioned |
2023-02-08T03:47:34Z |
|
dc.date.available |
2023-02-08T03:47:34Z |
|
dc.date.issued |
2022-09 |
en_US |
dc.identifier.citation |
Algebraic and Geometric Topology, 22(6), 2951-2996. |
en_US |
dc.identifier.issn |
1472-2739 |
en_US |
dc.identifier.uri |
https://doi.org/10.2140/agt.2022.22.2951 |
en_US |
dc.identifier.uri |
http://dr.iiserpune.ac.in:8080/xmlui/handle/123456789/7601 |
|
dc.description.abstract |
Any two geometric ideal triangulations of a cusped complete hyperbolic 3–manifold M are related by a sequence of Pachner moves through topological triangulations. We give a bound on the length of this sequence in terms of the total number of tetrahedra and a lower bound on dihedral angles. This leads to a naive but effective algorithm to check if two hyperbolic knots are equivalent, given geometric ideal triangulations of their complements. Given a geometric ideal triangulation of M, we also give a lower bound on the systole length of M in terms of the number of tetrahedra and a lower bound on dihedral angles. |
en_US |
dc.language.iso |
en |
en_US |
dc.publisher |
Mathematical Sciences Publishers |
en_US |
dc.subject |
Hauptvermutung |
en_US |
dc.subject |
Ideal triangulations |
en_US |
dc.subject |
Hyperbolic knots |
en_US |
dc.subject |
Pachner moves |
en_US |
dc.subject |
Systole length |
en_US |
dc.subject |
2023-FEB-WEEK1 |
en_US |
dc.subject |
TOC-FEB-2023 |
en_US |
dc.subject |
2022 |
en_US |
dc.title |
Bounds on Pachner moves and systoles of cusped 3-manifolds |
en_US |
dc.type |
Article |
en_US |
dc.contributor.department |
Dept. of Mathematics |
en_US |
dc.identifier.sourcetitle |
Algebraic and Geometric Topology |
en_US |
dc.publication.originofpublisher |
Foreign |
en_US |