Theta-invariants of $\mathbb{Z}\ddot{I}€$-homology equivalences to spherical 3-manifolds

Hisatoshi Kodani, Tadayuki Watanabe

We study Bott and Cattaneo's $\hat{I}˜$-invariant of 3-manifolds applied to $\mathbb{Z}\ddot{I}€$-homology equivalences from 3-manifolds to a fixed spherical 3-manifold. The $\hat{I}˜$-invariants are…