Bonn Topology Group - Abstracts
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Talk
January 29th 2018
Wolfgang Steimle (Universität Augsburg): On the h-cobordism category.
Abstract
The h-cobordism category is the subcategory of the cobordism category (of manifolds possibly with boundaries) on all h-cobordisms.
We study the homotopy type of its geometric realization and relate it to the classical h-cobordism space on a compact smooth manifold,
as considered in the parametrized h-cobordism theorem. In particular, we show that the homotopy groups of the stabilized h-cobordism category,
for suitable choice of tangential structure, are isomorphic to Waldhausen's higher Whitehead groups.
This is joint work with G. Raptis.
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