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Global Kuranishi charts and a product formula in symplectic Gromov-Witten theory

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arxiv 2212.11797 v2 pith:XSME7VZA submitted 2022-12-22 math.SG math.AG

Amanda Hirschi , Mohan Swaminathan This is my paper · ORCID
classification math.SGmath.AG
keywords formulasymplecticchartsglobalgromov-wittenkuranishiproductclosed
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We construct global Kuranishi charts for the moduli spaces of stable pseudoholomorphic maps to a closed symplectic manifold in all genera. This is used to prove a product formula for symplectic Gromov-Witten invariants. As a consequence we obtain a K\"unneth formula for quantum cohomology.

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  1. Bordism and resolution of singularities

    math.AT 2024-12 conditional novelty 8.0 of 10

    The natural map from complex bordism to derived orbifold bordism splits, giving complex-cobordism-valued Gromov-Witten invariants for arbitrary closed symplectic manifolds.

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