Almost toric fibrations on symplectic blow ups
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866916983005511680 |
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| author | Chakravarthy, Pranav Groman, Yoel |
| author_facet | Chakravarthy, Pranav Groman, Yoel |
| contents | Given a symplectic 4-manifold with an almost toric fibration and a symplectic ball embedding whose image under the moment map is contained in an affine convex set R, we produce a symplectomorphism between the almost toric blow-up and the symplectic blow-up which is the identity on the pre-image of the complement of R. Furthermore, under a compatibility condition of the ball embedding with the boundary divisor, we show that the symplectomorphism can be chosen to preserve the induced symplectic log canonical divisors. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2510_00994 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Almost toric fibrations on symplectic blow ups Chakravarthy, Pranav Groman, Yoel Symplectic Geometry 53C15, 53D35 Given a symplectic 4-manifold with an almost toric fibration and a symplectic ball embedding whose image under the moment map is contained in an affine convex set R, we produce a symplectomorphism between the almost toric blow-up and the symplectic blow-up which is the identity on the pre-image of the complement of R. Furthermore, under a compatibility condition of the ball embedding with the boundary divisor, we show that the symplectomorphism can be chosen to preserve the induced symplectic log canonical divisors. |
| title | Almost toric fibrations on symplectic blow ups |
| topic | Symplectic Geometry 53C15, 53D35 |
| url | https://arxiv.org/abs/2510.00994 |