Stratified spaces, Dirac operators and Positive Scalar Curvature
par
Paolo Piazza(Universita di Roma "La Sapienza")
→
Europe/Paris
Fokko du Cloux (Institut Camille Jordan)
Fokko du Cloux
Institut Camille Jordan
Université Lyon 1,
Bât. Braconnier,
21 av. Claude Bernard,
69100 Villeurbanne
Description
Let $\widehat{X}$ be a Thom-Mather stratified space and let $X$
be its regular part. We can endow $X$ with an incomplete conic-type metric,
or with a fibered corner metrics (which is complete). Assume $X$
is spin. In this talk I will talk about primary and secondary
K-theory invariants of the corresponding spin Dirac operator, with a particular
emphasis on the complete case, where gropupoids techniques will be used
following the foundational work of Debord-Lescure-Rochon and the Ph.D.
thesis of Zenobi.
This is joint work with Vito Felice Zenobi.