Refined analytic torsion on manifolds with boundary

Vertman, Boris

doi:10.2140/gt.2009.13.1989

Download this article
	For screen
	For printing

Recent Issues

The Journal

Submission Guidelines

Submission Page

Policies for Authors

Ethics Statement

ISSN 1364-0380 (online)

ISSN 1465-3060 (print)

Author Index

To Appear

Other MSP Journals

Refined analytic torsion on manifolds with boundary

Boris Vertman

Geometry & Topology 13 (2009) 1989–2027

DOI: 10.2140/gt.2009.13.1989

Abstract

We discuss the refined analytic torsion, introduced by M Braverman and T Kappeler as a canonical refinement of analytic torsion on closed manifolds. Unfortunately there seems to be no canonical way to extend their construction to compact manifolds with boundary. We propose a different refinement of analytic torsion, similar to Braverman and Kappeler, which does apply to compact manifolds with and without boundary. In a subsequent publication we prove a surgery formula for our construction.

Keywords

refined analytic torsion, ideal boundary condition, non-self-adjoint operator

Mathematical Subject Classification 2000

Primary: 58J52

References

Publication

Received: 17 August 2008

Revised: 17 March 2009

Accepted: 13 February 2009

Published: 26 April 2009

Proposed: Tobias Colding

Seconded: David Gabai, Gang Tian

Authors

Boris Vertman
Department of Mathematics University of Bonn Beringstr. 6 53115 Bonn Germany

Volume 13, issue 4 (2009)