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Essential tori in
spaces of symplectic embeddings
Julian Chaidez and Mihai Munteanu |
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Algebraic & Geometric Topology 21 (2021) 2489–2522
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Abstract |
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Given two –dimensional symplectic ellipsoids whose symplectic sizes satisfy certain inequalities, we show that a certain map from the –torus to the space of symplectic embeddings from one ellipsoid to the other induces an injective map on singular homology with mod coefficients. The proof uses parametrized moduli spaces of –holomorphic cylinders in completed symplectic cobordisms. |
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Keywords
spaces of symplectic embeddings, symplectic field theory,
ellipsoids, holomorphic cylinders
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Mathematical Subject Classification 2010
Primary: 53D05, 53D42, 58D10
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References |
Publication
Received: 11 December 2019
Revised: 3 August 2020
Accepted: 14 November 2020
Published: 31 October 2021
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Authors |
| Julian Chaidez | |
| Department of Mathematics University of California, Berkeley Berkeley, CA United States |
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| http://www.math.berkeley.edu/~jchaidez | |
| Mihai Munteanu | |
| Mathematics Department Humboldt-Universitat zu Berlin Berlin Germany |
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