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Configuration space integrals and diffeo vs homeo

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Speaker: 
Xujia Chen
Affiliation: 
MPIM
Date: 
Mon, 21/10/2024 - 14:00 - 15:00
Location: 
MPIM Lecture Hall
Parent event: 
MPIM Topology Seminar

The method of "configuration space integrals" gives invariants of certain smooth fiber bundles. It was shown by Watanabe (2018) that these invariants can detect exotic fiber bundles. I will discuss the relationship between this and the philosophy "a diffeomorphism lifts to maps between (compactified) configuration spaces, but a homeomorphism does not".

 

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