We consider a version of the relative Fukaya category for anticanonical Lefschetz pencils. There are direct connections between the behaviour of this category and enumerative geometry: some of these are results announced here, others remain conjectural. Among the conjectural goals is a formula for the dependence of the Fukaya category of Calabi-Yau hypersurfaces on the Novikov (area) parameter.
机构:
Univ Padua, Dipartimento Matemat Pura & Applicata, I-35121 Padua, ItalyUniv Calabria, Dipartimento Matemat, I-87036 Arcavacata Di Rende, CS, Italy
Mistretta, Ernesto
Polizzi, Francesco
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机构:
Univ Calabria, Dipartimento Matemat, I-87036 Arcavacata Di Rende, CS, ItalyUniv Calabria, Dipartimento Matemat, I-87036 Arcavacata Di Rende, CS, Italy