Topology Seminar

Yuan Gao
The Rabinowitz Fukaya category

The Rabinowitz Floer (co)homology of the boundary at infinity of a Liouville manifold is in some sense a symplectic-geometric analogue of the mapping cone from homology to cohomology. In this talk, I will discuss an $A_{\infty}$-categorical structure based on Rabinowitz Floer theory, which induces a non-trivial product on Rabinowitz Floer cohomology, extensively studied recently by Cieliebak-Oancea. We shall see that this $A_{\infty}$-structure can be algebraically computable from the wrapped Fukaya category, via the construction of the categorical formal punctured neighborhood, proving a conjecture due to Abouzaid.
     This is joint work with Sheel Ganatra and Sara Venkatesh.

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Event Date: 
February 4, 2021 - 2:30pm to 3:20pm
Calendar Category: 
Seminar Category: 
Geometry and Topology