Reverse isoperimetric inequalities for Lagrangian intersection Floer theory
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arXiv
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| Format: | Preprint |
| Published: |
2023
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| _version_ | 1866915684982718464 |
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| author | Chassé, Jean-Philippe Hicks, Jeff Nho, Yoon Jae Nick |
| author_facet | Chassé, Jean-Philippe Hicks, Jeff Nho, Yoon Jae Nick |
| contents | We extend Groman and Solomon's reverse isoperimetric inequality to pseudoholomorphic curves with punctures at the boundary and whose boundary components lie in a collection of Lagrangian submanifolds with intersections locally modelled on $\mathbb{R}^n\cap (\mathbb{R}^{k}\times \sqrt{-1}\mathbb{R}^{n-k})$ inside $\mathbb{C}^n$. Our construction closely follows the methods used by Duval (2016) and Abouzaid (2021) and corrects an error appearing in the latter approach. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2306_04761 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Reverse isoperimetric inequalities for Lagrangian intersection Floer theory Chassé, Jean-Philippe Hicks, Jeff Nho, Yoon Jae Nick Complex Variables Symplectic Geometry 32Q65, 32U05 We extend Groman and Solomon's reverse isoperimetric inequality to pseudoholomorphic curves with punctures at the boundary and whose boundary components lie in a collection of Lagrangian submanifolds with intersections locally modelled on $\mathbb{R}^n\cap (\mathbb{R}^{k}\times \sqrt{-1}\mathbb{R}^{n-k})$ inside $\mathbb{C}^n$. Our construction closely follows the methods used by Duval (2016) and Abouzaid (2021) and corrects an error appearing in the latter approach. |
| title | Reverse isoperimetric inequalities for Lagrangian intersection Floer theory |
| topic | Complex Variables Symplectic Geometry 32Q65, 32U05 |
| url | https://arxiv.org/abs/2306.04761 |