Smooth 4-manifolds viewed as sequences of three dimensional handlebodies.

Gabriel Islambouli (University of California)

Monday 28th March 16:00-17:00 Online

Abstract

Following constructions of numerous authors, one can build a smooth 4-manifold from a loop of Morse functions on a surface, a loop in the cut complex, a loop in the pants complex, or from a multisection diagram. In this talk, we will explore the basic properties of 4-manifolds viewed this way, as well as outline a stable equivalence theorem for these descriptions. This gives, for example, a procedure to relate any two loops of Morse functions on a surface corresponding to the same smooth 4-manifold.

The talk will be preceded by a tea time at 3:45pm. The Zoom link for the seminar is https://uofglasgow.zoom.us/j/98078798957 and the passcode is the genus of the two-dimensional sphere (4 letters, all lowercase).

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