Abstract

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. 2000 Mathematics Subject Classification 57M27 (primary), 58J32 (secondary).

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