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

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(...

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Bibliographic Details
Published inarXiv.org
Main Authors Kitano, Teruaki, Shimizu, Tatsuro
Format Paper
LanguageEnglish
Published Ithaca Cornell University Library, arXiv.org 11.11.2023
Subjects
Invariants
Manifolds
Perturbation theory
Toruses
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Summary: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 \(d(M,\rho)\).
ISSN:2331-8422