Delocalized L²-Invariants

1996/12/02 by Lott, John · 3 citations
#Differential Geometry (math.DG) #FOS: Mathematics

paper · doi:10.48550/arxiv.dg-ga/9612003

Abstract

We define extensions of the L²-analytic invariants of closed manifolds, called delocalized L²-invariants. These delocalized invariants are constructed in terms of a nontrivial conjugacy class of the fundamental group. We show that in many cases, they are topological in nature. We show that the marked length spectrum of an odd-dimensional hyperbolic manifold can be recovered from its delocalized L²-analytic torsion. There are technical convergence questions.

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