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2014 The homeomorphism problem for closed $3$–manifolds
Peter Scott, Hamish Short
Algebr. Geom. Topol. 14(4): 2431-2444 (2014). DOI: 10.2140/agt.2014.14.2431

Abstract

We give a geometric approach to an algorithm for deciding whether two hyperbolic 3–manifolds are homeomorphic. We also give an algebraic approach to the homeomorphism problem for geometric, but nonhyperbolic, 3–manifolds.

Citation

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Peter Scott. Hamish Short. "The homeomorphism problem for closed $3$–manifolds." Algebr. Geom. Topol. 14 (4) 2431 - 2444, 2014. https://doi.org/10.2140/agt.2014.14.2431

Information

Received: 30 January 2013; Revised: 6 November 2013; Accepted: 14 January 2014; Published: 2014
First available in Project Euclid: 19 December 2017

zbMATH: 1311.57025
MathSciNet: MR3331689
Digital Object Identifier: 10.2140/agt.2014.14.2431

Subjects:
Primary: 57M50
Secondary: 20F65 , 57M99

Keywords: decision problems , hyperbolic manifolds

Rights: Copyright © 2014 Mathematical Sciences Publishers

Vol.14 • No. 4 • 2014
MSP
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