On Rabinowitz wrapped Fukaya categories
Sheel Ganatra
Abstract: This talk develops the open-string categorical analogue of Rabinowitz Floer homology, which we term the Rabinowitz (wrapped) Fukaya category. Following a conjecture of Abouzaid, we relate the Rabinowitz Fukaya category to the usual wrapped Fukaya category by way of a general categorical construction introduced by Efimov, the "categorical formal punctured neighborhood of infinity". Using this result, we show how Rabinowitz Fukaya categories can be fit into - and therefore computed in terms of - mirror symmetry. Joint work (in progress) with Yuan Gao and Sara Venkatesh.
algebraic geometrydifferential geometrygeometric topologysymplectic geometry
Audience: researchers in the topic
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| Organizers: | Jonny Evans*, Ailsa Keating, Yanki Lekili* |
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