Comparison of the Refined Analytic and the Burghelea-haller Torsions


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)


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