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math.GT2022
Compatibility in Ozsvath-Szabo's bordered HFK via higher representations
William Chang, Andrew Manion
We equip the basic local crossing bimodules in Ozsváth-Szabó's theory of bordered knot Floer homology with the structure of 1-morphisms of 2-representations, categorifying the $U_q…
math.GT2022
On the decategorification of some higher actions in Heegaard Floer homology
Andrew Manion
We decategorify the higher actions on bordered Heegaard Floer strands algebras from recent work of Rouquier and the author and identify the decategorifications with certain actions…