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arXiv · 2104.10007

Anti-symplectic involutions for Lagrangian spheres in a symplectic quadric surface

Joontae Kim·Jiyeon Moon
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Abstract

We show that the space of anti-symplectic involutions of a monotone $S^2\times S^2$ whose fixed points set is a Lagrangian sphere is connected. This follows from a stronger result, namely that any two anti-symplectic involutions in that space are Hamiltonian isotopic.

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Joontae Kim, Jiyeon Moon. 2021-04-20. Anti-symplectic involutions for Lagrangian spheres in a symplectic quadric surface. https://doi.org/10.1112/blms.12533

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