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Titlebook: Research Directions in Symplectic and Contact Geometry and Topology; Bahar Acu,Catherine Cannizzo,Lisa Traynor Book 2021 The Author(s) and

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Constructions of Lagrangian Cobordisms,rial building blocks as well as some geometric methods, involving the theory of satellites, to construct Lagrangian cobordisms. We will then survey some known results, derived through Heegaard Floer Homology and contact surgery, that may provide a pathway to proving the existence of nondecomposable (nonribbon) Lagrangian cobordisms.
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https://doi.org/10.1007/978-3-030-80979-9pseudoholomorphic curves; differential topology; derived categories; triangulated categories; differenti
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978-3-030-80981-2The Author(s) and the Association for Women in Mathematics 2021
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Research Directions in Symplectic and Contact Geometry and Topology978-3-030-80979-9Series ISSN 2364-5733 Series E-ISSN 2364-5741
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,A Polyfold Proof of Gromov’s Non-squeezing Theorem,work of Hofer-Wysocki-Zehnder to give proofs involving moduli spaces of pseudoholomorphic curves that are relatively short and broadly accessible, while also fully detailed and rigorous. We moreover review the polyfold description of Gromov-Witten moduli spaces in the relevant case of spheres with minimal energy and one marked point.
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