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

• Amanda Hirschi ^[1] ; Mohan Swaminathan ^[2]
  1. [1] Pierre and Marie Curie University

     Pierre and Marie Curie University

     París, Francia

     
  2. [2] Stanford University

     Stanford University

     Estados Unidos

     
• Localización: Selecta Mathematica, New Series, ISSN 1022-1824, Vol. 30, Nº. 5, 2024
• Idioma: inglés
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• Resumen

  • 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 Künneth formula for quantum cohomology.