AIM workshop - Trisections and low-dimensional topology

20th March 2017   -   24th March 2017
American Institute of Mathematics, San Jose, Calif, United States


This workshop, sponsored by AIM and the NSF, will be devoted to a new perspective on 4-dimensional topology introduced by Gay and Kirby in 2012: Every smooth 4-manifold can be decomposed into three simple pieces via a trisection, a generalization of a Heegaard splitting of a 3-manifold. Since 2012, the theory of trisections has expanded to include the relative settings of surfaces in 4-manifolds and 4-manifolds with boundary, and tantalizing evidence reveals that trisections may bridge the gap between 3- and 4-dimensional topology. The goal of this workshop is to bring together researchers in low-dimensional topology in order to study interactions between trisections and other powerful tools and techniques

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