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Toward the equivariant stable parametrized h-cobordism theorem

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HHHW02 - Equivariant and motivic homotopy theory

Waldhausen's introduction of A-theory of spaces revolutionized the early study of pseudo-isotopy theory. Waldhausen proved that the A-theory of a manifold splits as its suspension spectrum and a factor Wh(M) whose first delooping is the space of stable h-cobordisms, and its second delooping is the space of stable pseudo-isotopies. I will describe a joint project with C. Malkiewich aimed at telling the equivariant story if one starts with a manifold M with group action by a finite group G.

This talk is part of the Isaac Newton Institute Seminar Series series.

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