On the gluing formula of real analytic torsion forms

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.

References in corpus (1)

• Morse theory and higher torsion invariants II

Cited by in corpus (1)

• Gluing formula of real analytic torsion forms and adiabatic limit