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Speaker:

Alex Zupan
Affiliation:

University of Nebraska Lincoln
Date:

Thu, 2019-09-19 16:30 - 17:20
Location:

MPIM Lecture Hall
Parent event:

Workshop on 4-manifolds, September 16 - 20, 2019 The Smooth 4-dimensional Poincaré Conjecture (S4PC) asserts that every homotopy 4-sphere is diffeomorphic to the standard 4-sphere $S^4$. We prove a special case of the S4PC: If $X$ is a homotopy 4-sphere that can be built with two 2-handles and two 3-handles, and such that one component of the 2-handle attaching link $L$ is a generalized square knot $T(p,q) \# T(-p,q)$, then $X$ is diffeomorphic to $S^4$. This is joint work with Jeffrey Meier.

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