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math.GT2025
Canonical orientations in Heegaard Floer theory
Mohammed Abouzaid, Ciprian Manolescu
We set up Heegaard Floer theory over the integers, using canonical orientations coming from coupled Spin structures on the Lagrangian tori. We prove naturality of Heegaard Floer ho…
math.GT2017★ 14 cited
A sheaf-theoretic model for SL(2,C) Floer homology
Mohammed Abouzaid, Ciprian Manolescu
Given a Heegaard splitting of a three-manifold Y, we consider the SL(2,C) character variety of the Heegaard surface, and two complex Lagrangians associated to the handlebodies. We…