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Engel relations and 4-manifolds
by
Slava Krushkal
University of Virginia
I will discuss geometric classification techniques in the theory of topological 4-manifolds, surgery and the s-cobordism theorem, which are known to hold for a certain restricted class of fundamental groups, and are open in general. Starting with an introduction to the 4-dimensional topological surgery conjecture, this talk will focus on recent results on the construction of new universal surgery models. The construction relies on geometric applications of the group-theoretic 2-Engel relation. (Joint work with Michael Freedman)
Date received: April 29, 2018
Copyright © 2018 by the author(s). The author(s) of this work and the organizers of the conference have granted their consent to include this abstract in Topology Atlas. Document # cboy-36.