Caltech/USC/UCLA Joint Topology Seminar

Series: Caltech/USC/UCLA Joint Topology Seminar Series

Khovanov homology and the Fukaya category of the 3-punctured disc

Claudius Zibrowius, Mathematics Department, University of British Columbia,

This talk will focus on a classification result for complexes over a certain quiver algebra and its consequences for Khovanov homology of 4-ended tangles. In particular, I will introduce a family of immersed curve invariants for pointed 4-ended tangles, whose intersection theory computes reduced Khovanov homology.

This is joint work in progress with Artem Kotelskiy and Liam Watson, which was inspired by recent work of Matthew Hedden, Christopher Herald, Matthew Hogancamp and Paul Kirk.

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