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arXiv · 2211.08026

Floer cohomology of Dehn twists along real Lagrangian spheres

Patricia Dietzsch
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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.

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Patricia Dietzsch. 2022-11-15. Floer cohomology of Dehn twists along real Lagrangian spheres. https://arxiv.org/abs/2211.08026

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