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

Benjamin Himpel; Paul Kirk; Matthias Lesch

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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

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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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BibTeX RIS

Benjamin Himpel, Paul Kirk, Matthias Lesch. 2003-02-20. Calderon projector for the Hessian of the perturbed Chern-Simons function on a 3-manifold with boundary. https://arxiv.org/abs/math/0302234

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