Delocalized L2-Invariants

✍ Scribed by John Lott

• Publisher: Elsevier Science
• Year: 1999
• Tongue: English
• Weight: 292 KB
• Volume: 169
• Category: Article
• ISSN: 0022-1236
• DOI: 10.1006/jfan.1999.3451

✦ Synopsis

We define extensions of the L 2 -analytic invariants of closed manifolds, called delocalized L 2 -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 L 2 -analytic torsion. There are technical convergence questions.