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DC Field | Value | Language |
---|---|---|
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 |
Appears in Collections: | JOURNAL ARTICLES |
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