A note on the $\Theta$-invariant of 3-manifolds

11 Mar 2019  ·  Cattaneo Alberto S., Shimizu Tatsuro ·

In this note, we revisit the $\Theta$-invariant as defined by R. Bott and the first author. The $\Theta$-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 $\Theta$-invariant can be defined when a cohomology group is vanishing. In this note, we give a slightly modified version of the $\Theta$-invariant that we can define even if the cohomology group is not vanishing. read more

PDF Abstract
No code implementations yet. Submit your code now

Categories


Geometric Topology