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Gluing formula for an invariant related to the Chern-Simons perturbation theory

2023/06/16 by Kitano, Teruaki, Shimizu, Tatsuro
#57K31 #57M05 #FOS: Mathematics #Geometric Topology (math.GT)

paper · doi:10.48550/arxiv.2306.09717

Abstract

The Chern-Simons perturbation theory gives an invariant d(M,ρ) for a pair of a closed oriented 3-manifold M and a representation ρ of the fundamental group. We generalize d(M,ρ) for compact oriented 3-manifolds with torus boundaries. Further we give a gluing formula for d(M,ρ).

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