Bordered Floer Theory, Hochschild Homology, and Links in S^1 × S^2

Bordered Floer Theory, Hochschild Homology, and Links in S^1 × S^2

Explore a lecture by Jesse Cohen from the University of Hamburg, presented at the Banach Center, delving into the connections between bordered Floer theory, Hochschild homology, and links in S^1 × S^2. Discover an analogue of the Ozsváth–Szabó spectral sequence, linking Rozansky's categorified stable SU(2) Witten–Reshetikhin–Turaev invariant of links in S^1 × S^2 to the Hochschild homology of an A_∞-bimodule defined using bordered Heegaard Floer homology. Examine how the differential algebras over which these bimodules are defined are nontrivial A_∞-deformations of Khovanov's arc algebras. Gain insights into advanced topics in topology and homology theory during this hour-long presentation.