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Classification of
genus-two surfaces in $S^3$
Filippo Baroni |
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Algebraic & Geometric Topology 25 (2025) 4719–4785
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Abstract |
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We describe an algorithm to decide whether two genus-two surfaces embedded in the -sphere are isotopic or not. The algorithm employs well-known techniques in -manifolds topology, as well as a new algorithmic solution to a problem on free groups. |
Keywords
3-manifolds, algorithm, surfaces, genus 2, classification
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Mathematical Subject Classification
Primary: 57-08, 57K30
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References |
Publication
Received: 17 November 2023
Revised: 8 August 2024
Accepted: 13 October 2024
Published: 20 November 2025
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Authors |
| Filippo Baroni | |
| School of Mathematics Trinity College Dublin Dublin Ireland |
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| © 2025 MSP (Mathematical Sciences Publishers). Distributed under the Creative Commons Attribution License 4.0 (CC BY). |
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