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.
- Publication:
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arXiv e-prints
- Pub Date:
- January 2018
- DOI:
- 10.48550/arXiv.1801.08824
- arXiv:
- arXiv:1801.08824
- Bibcode:
- 2018arXiv180108824S
- Keywords:
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- Mathematics - Differential Geometry
- E-Print:
- submitted to a journal