Hostname: page-component-78c5997874-ndw9j Total loading time: 0 Render date: 2024-11-13T07:30:06.618Z Has data issue: false hasContentIssue false
  • English
  • Français

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

Published online by Cambridge University Press:  30 June 2004

Benjamin Himpel ,
Paul Kirk  and
Matthias Lesch
Benjamin Himpel
Affiliation:
Department of Mathematics, Indiana University, Bloomington, IN 47405, USA. E-mail: bhimpel@indiana.edu
Paul Kirk
Affiliation:
Department of Mathematics, Indiana University, Bloomington, IN 47405, USA. E-mail: pkirk@indiana.edu
Matthias Lesch
Affiliation:
Mathematisches Institut, Universität zu Köln, Weyertal 86–90, D–50931 Köln, Germany. E-mail: lesch@mi.uni-koeln.de
Get access

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.

Keywords

Calderón projectorChern–Simons functionHessian57M27 (primary)58J32 (secondary)
Type
Research Article
Information
Proceedings of the London Mathematical Society , Volume 89 , Issue 1 , July 2004 , pp. 241 - 272
Copyright
2004 London Mathematical Society

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

Footnotes

The second named author gratefully acknowledges the support of the National Science Foundation under grant no. DMS-0202148.