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- W2889743840 abstract "Author(s): Hanlon, Andrew | Advisor(s): Auroux, Denis | Abstract: Mirror symmetry for a toric variety involves Laurent polynomials whose symplectic topology is related to the algebraic geometry of the toric variety. We show that there is a monodromy action on the Fukaya-Seidel categories of these Laurent polynomials as the arguments of their coefficients vary that corresponds under homological mirror symmetry to tensoring by a line bundle naturally associated to the monomials whose coefficients are rotated. In the process, we introduce a new interpretation of the Fukaya-Seidel category of a Laurent polynomial on (C*)^n, which has other potential applications, and give evidence of homological mirror symmetry for non-compact toric varieties by computing certain Floer-theoretic natural transformations." @default.
- W2889743840 created "2018-09-27" @default.
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- W2889743840 date "2019-01-01" @default.
- W2889743840 modified "2023-09-27" @default.
- W2889743840 title "Monodromy of Fukaya-Seidel categories mirror to toric varieties" @default.
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