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Colored Heegaard Floer homology: Structures and Examples

Geometry/Topology

Speaker: Beibei Liu, The Ohio State University
Related Webpage: https://sites.google.com/view/beibei-liu/
Location: 2112 MSB
Start time: Tue, Feb 10 2026, 2:10PM

Description

In joint work with Alishahi and Gorsky, we defined new knot invariants, called colored Heegaard Floer homology, for any knot K in the three sphere. This is the colimit of the cobordism maps from the (n, mn)-cable of K to (n, (m+1)n)-cable by letting m goes to infinity which are invariant under full twists. In this talk,  We will define the invariants, describe their module structures,  and show that the colimit is bounded in each gradings.