Gauge Theory and Topology Seminar: Sutured TQFTs and Floer homology
SEMINARS, GAUGE-TOPOLOGY-SYMPLECTIC
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March 1, 2024 3:30 pm - 4:30 pm
Science Center 507
Address:
1 Oxford Street, Cambridge, MA 02138 USA
Speaker:
Jake Rasmussen - University of Illinois Urbana-Champaign
The bordered Floer homology of Lipshitz, Ozsvath, and Thurston was interpreted by Auroux as defining an element in the partially wrapped Fukaya category of a symmetric product of the boundary. We naturally expect that this assignment should be functorial; e.g. a cobordism between two manifolds with torus boundary should induce a morphism between the corresponding Lagrangians. I'll describe a framework for thinking about functoriality in terms of sutured manifolds and describe what it looks like for Heegaard Floer homology.