Event Information

Topology Seminar: Andrei Pajitnov

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Date
27-Apr-16
Time
15:30-17:00
Venue
Seminar Room 230, Main Building
Speaker
Andrei Pajitnov (Universite de Nantes)
Title
Finiteness of Hofer-Zehnder capacity and equivariant loop space homology
Abstract

A closed oriented manifold M with the fundamental group G is called Q-inessential if the classifying map M –> BG sends to zero the fundamental class of M with rational coefficients. We prove that if M is Q-inessential, then the Hofer-Zehnder capacity of the unit disk bundle of the cotangent bundle of M is finite. The proof uses the classical Goodwillie's theory of homology of loop spaces, and a recent theorem of K. Irie about spectral invariants and Hofer-Zehnder capacities.

This is a joint work with Urs Frauenfelder.

Update : April 22, 2016

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