Equivariant Lagrangian displacements
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arXiv
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866908607724912640 |
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| author | Cant, Dylan Christ, Julio Sampietro |
| author_facet | Cant, Dylan Christ, Julio Sampietro |
| contents | This paper proves that certain monotone Lagrangians in the standard symplectic vector space cannot be displaced by a Hamiltonian isotopy which commutes with the antipodal map. The method of proof is to develop a Borel equivariant version of the quantum cohomology of Biran and Cornea, and prove it is sensitive to equivariant displacements. The Floer--Euler class of Biran and Khanevsky appears as a term in the equivariant differential in certain cases. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2510_20756 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Equivariant Lagrangian displacements Cant, Dylan Christ, Julio Sampietro Symplectic Geometry 53D12 53D20 53D45 This paper proves that certain monotone Lagrangians in the standard symplectic vector space cannot be displaced by a Hamiltonian isotopy which commutes with the antipodal map. The method of proof is to develop a Borel equivariant version of the quantum cohomology of Biran and Cornea, and prove it is sensitive to equivariant displacements. The Floer--Euler class of Biran and Khanevsky appears as a term in the equivariant differential in certain cases. |
| title | Equivariant Lagrangian displacements |
| topic | Symplectic Geometry 53D12 53D20 53D45 |
| url | https://arxiv.org/abs/2510.20756 |