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Stable Spaces of Equivariant H-Cobordisms

[HYBRID WORKSHOP] Floer Homotopical Methods in Low Dimensional and Symplectic Topology November 14, 2022 - November 18, 2022

November 15, 2022 (02:00 PM PST - 03:00 PM PST)
Speaker(s): Mona Merling (University of Pennsylvania)
Location: MSRI: Simons Auditorium, Online/Virtual
Tags/Keywords
  • h-cobordism

  • algebraic K-theory

  • equivariant

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Secondary Mathematics Subject Classification
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Stable Spaces Of Equivariant H-Cobordisms

Abstract

Waldhausen's algebraic K-theory of manifolds satisfies a homotopical lift of the classical h-cobordism theorem and provides a critical link in the chain of homotopy theoretic constructions that show up in the classification of manifolds and their diffeomorphisms. I will give an overview of joint work with Goodwillie, Igusa and Malkiewich about a homotopical lift of an equivariant h-cobordism theorem. In this talk I will zoom in on the functoriality of the stable equivariant h-cobordism space and I will give a flavor of some of the geometric ideas that go into these constructions.

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Stable Spaces Of Equivariant H-Cobordisms

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