Lagrangian Approximation of Totally Real Concordances
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arXiv
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866913755565129728 |
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| author | Rizell, Georgios Dimitroglou |
| author_facet | Rizell, Georgios Dimitroglou |
| contents | We show that a two-dimensional totally real concordance can be approximated by a Lagrangian concordance whose Legendrian boundary has been stabilised both positively and negatively sufficiently many times. The main applications that we provide are constructions of knotted Lagrangian concordances in arbitrary four-dimensional symplectiations, as well as of knotted Lagrangian tori in symplectisations of overtwisted contact three-manifolds. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2408_16614 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Lagrangian Approximation of Totally Real Concordances Rizell, Georgios Dimitroglou Symplectic Geometry 53D12, 53D10 We show that a two-dimensional totally real concordance can be approximated by a Lagrangian concordance whose Legendrian boundary has been stabilised both positively and negatively sufficiently many times. The main applications that we provide are constructions of knotted Lagrangian concordances in arbitrary four-dimensional symplectiations, as well as of knotted Lagrangian tori in symplectisations of overtwisted contact three-manifolds. |
| title | Lagrangian Approximation of Totally Real Concordances |
| topic | Symplectic Geometry 53D12, 53D10 |
| url | https://arxiv.org/abs/2408.16614 |