Publication: A note on the $\Theta$-invariant of 3-manifolds
A note on the $\Theta$-invariant of 3-manifolds
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Cattaneo, A. S., & Shimizu, T. (2021). A note on the $\Theta$-invariant of 3-manifolds. Quantum Topology, 12(1), 111–127. https://doi.org/10.4171/qt/146
Abstract
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In this note, we revisit the Θ-invariant as defined by R. Bott and the first author in [4]. The Θ-invariant is an invariant of rational homology 3-spheres with acyclic orthogonal local systems, which is a generalization of the 2-loop term of the Chern–Simons perturbation theory. The Θ-invariant can be defined when a cohomology group is vanishing. In this note, we give a slightly modified version of the Θ-invariant that we can define even if the cohomology group is not vanishing.
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- Shimizu, Tatsuro
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Cattaneo, A. S., & Shimizu, T. (2021). A note on the $\Theta$-invariant of 3-manifolds. Quantum Topology, 12(1), 111–127. https://doi.org/10.4171/qt/146
