On the gluing formula of real analytic torsion forms

Published 13 May 2014 in math.GT and math.DG | (1405.3025v1)

Abstract: In this paper we extend first the Bismut-Lott's analytic torsion form for flat vector bundles to the boundary case, then we establish its gluing formula on a smooth fibration under the assumption that a fiberwise Morse function exists. We assume that the metrics have product structures near the cutting hypersurface.

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Authors (1)

Jialin Zhu

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