Suspending Lefschetz Fibrations, with an Application to Local Mirror Symmetry

نویسندگان

  • PAUL SEIDEL
  • Mohammed Abouzaid
  • Mark Gross
چکیده

(1.1) H = {(x, y) ∈ (C) × C : y1y2 + p(x) = z}, Here, p : (C) → C is the superpotential mirror to Y (following [7] or [9]), and z is any regular value of p. H is an affine threefold with trivial canonical bundle. Hence, it has a Fukaya category Fuk(H), whose objects are compact exact Lagrangian submanifolds equipped with gradings and Spin structures. This is an A∞-category over C. Consider the associated derived category D(Fuk(H)).

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تاریخ انتشار 2009