The Crepant Transformation Conjecture for Toric Complete Intersections
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The Mirror Theorems for toric Deligne-Mumford stacks and toric complete intersections were proved in this article, and the Mellin-Barnes method for analytic continuation of hypergeometric functions.About:
This article is published in Advances in Mathematics.The article was published on 2018-04-30 and is currently open access. It has received 69 citations till now. The article focuses on the topics: Toric variety & Equivariant map.read more
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Some Applications of the Mirror Theorem for Toric Stacks
TL;DR: In this article, the mirror theorem for toric Deligne-Mumford stacks was used to compute genus-zero Gromov-Witten invariants of a number of toric orbifolds and gerbes.
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Structures in genus-zero relative Gromov–Witten theory
TL;DR: In this paper, a genus-zero relative Gromov-Witten invariant with negative contact orders is defined, and a version of Virasoro constraints also follows from it.
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Some Applications of the Mirror Theorem for Toric Stacks
TL;DR: In this article, the mirror theorem for toric Deligne-Mumford stacks was used to compute genus-zero Gromov-Witten invariants of a number of toric orbifolds and gerbes.
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A proof of the Landau-Ginzburg/Calabi-Yau correspondence via the crepant transformation conjecture
TL;DR: In this article, the MLK correspondence between twisted FJRW theory and local Gromov-Witten theory in all genera was established and it was shown that the Landau-Ginzburg/Calabi-Yau correspondence is implied by the crepant transformation conjecture for Fermat type in genus zero.
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Lagrangian floer superpotentials and crepant resolutions for toric orbifolds
TL;DR: In this paper, the authors investigated the relationship between the Lagrangian Floer superpotentials for a toric orbifold and its toric crepant resolutions and showed that the change of variable formula which appears in closed CRC can be explained by relations between open (orbifold) Gromov-Witten invariants.
References
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Discriminants, Resultants, and Multidimensional Determinants
TL;DR: The Cayley method of studying discriminants was used by Cayley as discussed by the authors to study the Cayley Method of Discriminants and Resultants for Polynomials in One Variable and for forms in Several Variables.
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A Pair of Calabi-Yau manifolds as an exactly soluble superconformal theory
TL;DR: In this paper, the prepotentials and geometry of the moduli spaces for a Calabi-Yau manifold and its mirror were derived and all the sigma model corrections to the Yukawa couplings and moduli space metric were obtained.
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The moment map and equivariant cohomology
TL;DR: In this article, the authors propose a solution to solve the problem of spamming, which is called spamming-based spamming.$$$/$/$/$/$$
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Dual polyhedra and mirror symmetry for Calabi-Yau hypersurfaces in toric varieties
TL;DR: In this article, it was shown that there exists an isomorphism between two conformal field theories corresponding to Calabi-Yau varieties from two families of algebraic compactifications of affine hypersurfaces.
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Dual Polyhedra and Mirror Symmetry for Calabi-Yau Hypersurfaces in Toric Varieties
TL;DR: In this article, it was shown that there exists an isomorphism between two conformal field theories corresponding to Calabi-Yau varieties from two families of algebraic compactifications of affine hypersurfaces.