Families torsion and Morse functions for covering spaces
classification
🧮 math.DG
keywords
morsetorsionanalyticassumptioncheeger-mcoveringexistsfamilies
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In this paper we prove the Cheeger-M\"{u}ller 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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