Resumen de Calderón Projector for the Hessian of the perturbed Chern¿Simons function on a 3-manifold with boundary

Benjamin Himpel, Paul Kirk, Matthias Lesch

• The existence and continuity for the Calderón projector of the perturbed odd signature operator on a 3-manifold is established. As an application we give a new proof of a result of Taubes relating the modulo 2 spectral flow of a family of operators on a homology 3-sphere with the difference in local intersection numbers of the character varieties coming from a Heegard decomposition.