Calderón Projector for the Hessian of the Perturbed Chern–Simons Function on a 3‐Manifold with Boundary | Zendy

Himpel Benjamin | Zendy; Kirk Paul | Zendy; Lesch Matthias | Zendy

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Calderón Projector for the Hessian of the Perturbed Chern–Simons Function on a 3‐Manifold with Boundary

Author(s) -

Himpel Benjamin,

Kirk Paul,

Lesch Matthias

Publication year - 2004

Publication title -

proceedings of the london mathematical society

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 1.899

H-Index - 65

eISSN - 1460-244X

pISSN - 0024-6115

DOI - 10.1112/s0024611504014728

Subject(s) - mathematics , hessian matrix , modulo , projector , pure mathematics , boundary (topology) , 3 manifold , manifold (fluid mechanics) , chern–simons theory , mathematical analysis , combinatorics , mathematical physics , artificial intelligence , gauge theory , mechanical engineering , computer science , engineering

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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