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

  Mostrar afiliaciones +
• Localización: Selecta Mathematica, New Series, ISSN 1022-1824, Vol. 24, Nº. 3, 2018, págs. 1913-2002
• Idioma: inglés
• DOI: 10.1007/s00029-018-0403-5
• Enlaces
  • Texto completo (pdf)
• 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.