The crepant transformation conjecture for toric complete intersections

DOI10.1016/j.aim.2017.11.017zbMath1394.14036arXiv1410.0024OpenAlexW1567930393WikidataQ123014493 ScholiaQ123014493MaRDI QIDQ1744568

Hiroshi Iritani, Yunfeng Jiang, Tom Coates

Publication date: 23 April 2018

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1410.0024

zbMATH Keywords

mirror symmetryquantum cohomologyMellin-Barnes methodFourier-Mukai transformationtoric Deligne-Mumford stackscrepant resolution conjecture

Mathematics Subject Classification ID

Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects) (14N35) Gromov-Witten invariants, quantum cohomology, Frobenius manifolds (53D45) Generalizations (algebraic spaces, stacks) (14A20) McKay correspondence (14E16)

Related Items

Introduction to the gauged linear sigma model, Unwinding Toric Degenerations and Mirror Symmetry for Grassmannians, Quantum Serre duality for quasimaps, Global mirrors and discrepant transformations for toric Deligne-Mumford stacks, Extremal transitions via quantum Serre duality, A wall-crossing formula for Gromov-Witten invariants under variation of git quotient, Gromov-Witten invariants of 𝑆𝑦𝑚^{𝑑}ℙ^{𝕣}, Gamma classes and quantum cohomology, Abelianization and quantum Lefschetz for orbifold quasimap \(I\)-functions, Hypertoric geometry and Gromov-Witten theory, Lagrangian Floer superpotentials and crepant resolutions for toric orbifolds, Gromov-Witten invariants of local \(\mathbb{P}^2\) and modular forms, A Fock sheaf for Givental quantization, Integral transforms and quantum correspondences, Reconstructing GKZ via topological recursion, The hilb/sym correspondence for \({\mathbb{C}}^2\): descendents and Fourier-Mukai, Perverse schobers on Riemann surfaces: constructions and examples, The fundamental solution matrix and relative stable maps, Open/closed correspondence via relative/local correspondence

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