Families torsion and Morse functions for covering spaces

Abstract

In this paper we prove the Cheeger-Müller theorem for $L^2$-analytic torsion form under the assumption that there exists a fiberwise Morse function and the Novikov-Shubin invariant is positive.

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References in corpus (1)

• L^2 torsion without the determinant class condition and extended L^2 cohomology