The panted cobordism groups of cusped hyperbolic 3-manifolds

Hongbin Sun

doi:10.1112/topo.12255

The panted cobordism groups of cusped hyperbolic 3-manifolds

Hongbin Sun

School of Arts and Sciences, Mathematics

Rutgers, The State University

Research output: Contribution to journal › Article › peer-review

Abstract

For any oriented cusped hyperbolic 3-manifold (Formula presented.), we study its (Formula presented.) -panted cobordism group, which is the abelian group generated by (Formula presented.) -good curves in (Formula presented.) modulo the oriented boundaries of (Formula presented.) -good pants. In particular, we prove that for sufficiently small (Formula presented.) and sufficiently large (Formula presented.), some modified version of the (Formula presented.) -panted cobordism group of (Formula presented.) is isomorphic to (Formula presented.).

Original language	American English
Pages (from-to)	1580-1634
Number of pages	55
Journal	Journal of Topology
Volume	15
Issue number	3
DOIs	https://doi.org/10.1112/topo.12255
State	Published - Sep 2022

ASJC Scopus subject areas

Geometry and Topology

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10.1112/topo.12255

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abstract = "For any oriented cusped hyperbolic 3-manifold (Formula presented.), we study its (Formula presented.) -panted cobordism group, which is the abelian group generated by (Formula presented.) -good curves in (Formula presented.) modulo the oriented boundaries of (Formula presented.) -good pants. In particular, we prove that for sufficiently small (Formula presented.) and sufficiently large (Formula presented.), some modified version of the (Formula presented.) -panted cobordism group of (Formula presented.) is isomorphic to (Formula presented.).",

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AB - For any oriented cusped hyperbolic 3-manifold (Formula presented.), we study its (Formula presented.) -panted cobordism group, which is the abelian group generated by (Formula presented.) -good curves in (Formula presented.) modulo the oriented boundaries of (Formula presented.) -good pants. In particular, we prove that for sufficiently small (Formula presented.) and sufficiently large (Formula presented.), some modified version of the (Formula presented.) -panted cobordism group of (Formula presented.) is isomorphic to (Formula presented.).

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The panted cobordism groups of cusped hyperbolic 3-manifolds

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