Finiteness conjecture for 3-manifolds obtained from handlebodies by attaching 2-handles

Hiroaki Karuo; Zhihao Wang

doi:10.2140/agt.2026.26.1095

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arXiv · 2401.00262

Finiteness conjecture for 3-manifolds obtained from handlebodies by attaching 2-handles

Hiroaki Karuo·Zhihao Wang

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Abstract

We study a generalized Witten's finiteness conjecture for the skein modules of oriented compact 3-manifolds with boundary. We formulate an equivalent version of the generalized finiteness conjecture using handlebodies and 2-handles, and prove the conjecture for some classes with the handlebodies of genus 2 and 3 using the equivalent version.

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Hiroaki Karuo, Zhihao Wang. 2023-12-30. Finiteness conjecture for 3-manifolds obtained from handlebodies by attaching 2-handles. https://doi.org/10.2140/agt.2026.26.1095

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