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

2023/12/30 by Karuo, Hiroaki, Wang, Zhihao · 1 citation
#Combinatorics (math.CO) #FOS: Mathematics #Geometric Topology (math.GT) #Quantum Algebra (math.QA)

paper · doi:10.48550/arxiv.2401.00262

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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