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

Teruaki Kitano; Tatsuro Shimizu

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arXiv · 2306.09717

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

Teruaki Kitano·Tatsuro Shimizu

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Abstract

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

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Teruaki Kitano, Tatsuro Shimizu. 2023-06-16. Gluing formula for an invariant related to the Chern-Simons perturbation theory. https://arxiv.org/abs/2306.09717

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