On the topology of real Lagrangians in toric symplectic manifolds
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2019
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| _version_ | 1866929699157966848 |
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| author | Brendel, Joé Kim, Joontae Moon, Jiyeon |
| author_facet | Brendel, Joé Kim, Joontae Moon, Jiyeon |
| contents | We explore the topology of real Lagrangian submanifolds in a toric symplectic manifold which come from involutive symmetries on its moment polytope. We establish a real analog of the Delzant construction for those real Lagrangians, which says that their diffeomorphism type is determined by combinatorial data. As an application, we realize all possible diffeomorphism types of connected real Lagrangians in toric symplectic del Pezzo surfaces. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1912_10470 |
| institution | arXiv |
| publishDate | 2019 |
| record_format | arxiv |
| spellingShingle | On the topology of real Lagrangians in toric symplectic manifolds Brendel, Joé Kim, Joontae Moon, Jiyeon Symplectic Geometry Algebraic Topology Geometric Topology Primary 53D12, Secondary 53D20 We explore the topology of real Lagrangian submanifolds in a toric symplectic manifold which come from involutive symmetries on its moment polytope. We establish a real analog of the Delzant construction for those real Lagrangians, which says that their diffeomorphism type is determined by combinatorial data. As an application, we realize all possible diffeomorphism types of connected real Lagrangians in toric symplectic del Pezzo surfaces. |
| title | On the topology of real Lagrangians in toric symplectic manifolds |
| topic | Symplectic Geometry Algebraic Topology Geometric Topology Primary 53D12, Secondary 53D20 |
| url | https://arxiv.org/abs/1912.10470 |