Perturbative Chern-Simons invariants from non-acyclic flat connections
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arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| _version_ | 1866908770437693440 |
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| author | Mnev, Pavel Wernli, Konstantin |
| author_facet | Mnev, Pavel Wernli, Konstantin |
| contents | We give a short review of our construction of a higher-loop perturbative invariant of framed 3-manifolds, generalizing the perturbative Chern-Simons invariant of Witten-Axelrod-Singer, associated to an acyclic flat connection, to an invariant given by the integral of a certain "Chern-Simons volume form" over a smooth closed component of the moduli space of flat connections. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_17638 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Perturbative Chern-Simons invariants from non-acyclic flat connections Mnev, Pavel Wernli, Konstantin Mathematical Physics High Energy Physics - Theory Geometric Topology We give a short review of our construction of a higher-loop perturbative invariant of framed 3-manifolds, generalizing the perturbative Chern-Simons invariant of Witten-Axelrod-Singer, associated to an acyclic flat connection, to an invariant given by the integral of a certain "Chern-Simons volume form" over a smooth closed component of the moduli space of flat connections. |
| title | Perturbative Chern-Simons invariants from non-acyclic flat connections |
| topic | Mathematical Physics High Energy Physics - Theory Geometric Topology |
| url | https://arxiv.org/abs/2512.17638 |