A∞ functors for Lagrangian correspondences

• S. Mau ^[2] ; K. Wehrheim ^[3] ; C. Woodward ^[1]
  1. [1] Rutgers University

     Rutgers University

     City of New Brunswick, Estados Unidos

     
  2. [2] Venice
  3. [3] University of California

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• Localización: Selecta Mathematica, New Series, ISSN 1022-1824, Vol. 24, Nº. 3, 2018, págs. 1913-2002
• Idioma: inglés
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• Resumen

  • We construct A∞ functors between Fukaya categories associated to monotone Lagrangian correspondences between compact symplectic manifolds. We then show that the composition of A∞ functors for correspondences is homotopic to the functor for the composition, in the case that the composition is smooth and embedded.