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Anti-symplectic involutions for Lagrangian spheres in a symplectic quadric surface
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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| Published in: | arXiv.org 2021-04 |
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| Main Authors: | , |
| Format: | Article |
| Language: | English |
| Online Access: | Get full text |
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| Summary: | 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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| ISSN: | 2331-8422 |
| DOI: | 10.48550/arxiv.2104.10007 |