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Birational Calabi-Yau manifolds have the same small quantum products

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Publication:2296297
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DOI10.4007/annals.2020.191.2.4zbMath1436.14092arXiv1806.01752OpenAlexW3006017689MaRDI QIDQ2296297

Mark McLean

Publication date: 18 February 2020

Published in: Annals of Mathematics. Second Series (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1806.01752

zbMATH Keywords

small quantum cohomologyCalabi-Yaubirational equivalenceHamiltonian Floer cohomology


Mathematics Subject Classification ID

Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects) (14N35) Symplectic aspects of Floer homology and cohomology (53D40) Gromov-Witten invariants, quantum cohomology, Frobenius manifolds (53D45)


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Super-rigidity of certain skeleta using relative symplectic cohomology, Quantum cohomology as a deformation of symplectic cohomology, Floer cohomology, singularities, and birational geometry, A characterization of heaviness in terms of relative symplectic cohomology, Gamma classes and quantum cohomology, The quantitative nature of reduced Floer theory, Mayer-Vietoris property for relative symplectic cohomology



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