A combinatorial calculation of the Landau–Ginzburg model M = C3, W = z1 z2 z3

• David Nadler ^[1]
  1. [1] University of California
• Localización: Selecta Mathematica, New Series, ISSN 1022-1824, Vol. 23, Nº. 1, 2017, págs. 519-532
• Idioma: inglés
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• Resumen

  • The aim of this paper is to apply ideas from the study of Legendrian singularities to a specific example of interest within mirror symmetry. We calculate the Landau–Ginzburg A-model with M = C3, W = z1z2z3 in its guise as microlocal sheaves along the natural singular Lagrangian thimble L = Cone(T 2) ⊂ M. The description we obtain is immediately equivalent to the B-model of the pair-of-pants P1\{0, 1,∞} as predicted by mirror symmetry.