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math.GT2026
A symmetric monoidal Frohman-Nicas TQFT for sutured manifolds
Andrew Manion, Elijah Rutter
By analyzing the decategorification of bordered sutured Heegaard Floer homology, we reinterpret and generalize the classical Frohman-Nicas TQFT for the Alexander polynomial in the…
math.GT2025
Trivalent vertices and bordered knot Floer homology in the standard basis
Andrew Manion
We define new algebras, local bimodules, and bimodule maps in the spirit of Ozsvath-Szabo's bordered knot Floer homology. We equip them with the structure of 2-representations of t…