Burghelea–Haller analytic torsion for twisted de Rham complexes

Guangxiang Su

Vol. 250 (2011), No. 2, 421–437

DOI: 10.2140/pjm.2011.250.421

Abstract

We extend the Burghelea–Haller analytic torsion to the twisted de Rham complexes, and compare it with the twisted refined analytic torsion defined by Huang. Finally, we briefly discuss the Cappell–Miller analytic torsion.

Keywords

analytic torsion, symmetric bilinear form, de Rham complex

Mathematical Subject Classification 2000

Primary: 58J52

Secondary: 19K56

Milestones

Received: 25 January 2010

Revised: 23 September 2010

Accepted: 13 October 2010

Published: 31 March 2011