Geometry & Topology

Event Information Proper cohomotopy in infinite dimensions
16:10 on Monday March 08, 2021
17:00 on Monday March 08, 2021
Thomas Rot

Vrije Universiteit Amsterdam

Cohomotopy sets of manifolds (homotopy classes of maps into spheres) can be studied via the Pontryagin-Thom construction. The Pontryagin-Thom construction relates cohomotopy sets to framed submanifolds up to framed cobordism in the domain, which can be computed explicitly in favorable cases. In this talk I recall this theory and will discuss a generalization to mappings between infinite dimensional spaces. This is joint work with Alberto Abbondandolo.

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