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Floer cohomology of Dehn twists along real Lagrangian spheres (2211.08026v2)
Published 15 Nov 2022 in math.SG
Abstract: We study the Floer cohomology of the Dehn twist along a real Lagrangian sphere in a symplectic manifold endowed with an anti-symplectic involution. We prove that there exists a distinguished element in the Floer group that is a fixed point of the automorphism induced by the involution. Our methods of proof are based on Mak-Wu's cobordism and Floer-theoretic considerations.