Orateur
Mathis Alleysson
(Université de Toulouse)
Description
In the second paper of the series "The Index of Elliptic Operators", M. Atiyah and G. Segal study the G-equivariant topological index associated with the action of a compact Lie group G on a manifold. After localization at a conjugacy class, this index can be expressed in terms of fixed-point data, leading to Lefschetz-type fixed point formulas. In this talk, we study this localized computation in the case of manifold with boundary, using Monthubert's groupoid and pushforward in K-theory.