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Calderon projector for the Hessian of the perturbed Chern-Simons function on a 3-manifold with boundary

Benjamin Himpel, Paul Kirk, Matthias Lesch

math.GTarXiv:math/0302234

Abstract

The existence and continuity for the Calderon 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 mod 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.

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