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arXiv · 2309.05387

Classification of genus-two surfaces in $S^3$

Filippo Baroni
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Abstract

We describe an algorithm to decide whether two genus-two surfaces embedded in the 3-sphere are isotopic or not. The algorithm employs well-known techniques in 3-manifolds topology, as well as a new algorithmic solution to a problem on free groups.

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Filippo Baroni. 2023-09-11. Classification of genus-two surfaces in $S^3$. https://doi.org/10.2140/agt.2025.25.4719

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