Comparison of the Refined Analytic and the Burghelea-haller Torsions

Abstract

We express the Burghelea-Haller complex Ray-Singer torsion in terms of the square of the refined analytic torsion and the η-invariant. As an application we obtain new results about the Burghelea-Haller torsion. In particular, we prove a weak version of the Burghelea-Haller conjecture relating their torsion with the square of the Turaev combinatorial torsion… (More)

Topics

  • Presentations referencing similar topics