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

Read full text
Authors: Hiroaki Karuo, Zhihao Wang
Cited by: 0

Abstract

We study a generalized Witten's finiteness conjecture for the skein modules of oriented compact 3manifolds 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.

Fields of Study & Subjects

Geometric and Algebraic Topology

Publication details

Journal / source
Algebraic & Geometric Topology
Volume
26
Issue
3
Pages
1095–1114
Publication date
1 April 2026
Language
EN