Orateur
Hang Wang
(East China Nomal University)
Description
A Riemann-Roch type formula serves as the the cornerstone in establishing the Atiyah-Singer index theory via the K-theory method. The classical deformation-to-the-normal-cone approach offers a perspective from noncommutative geometry on formulating the analytic index. In this work, we propose a topological method that combines a Riemann-Roch theorem with deformation-to-the-normal-cone techniques to provide a cohomological depiction of the Connes-Kasparov isomorphism. This is joint work with Paulo Carrillo Rouse and Zijing Wang.