Quantum K-theory of Grassmannians and non-abelian localization

DOI10.3842/SIGMA.2021.018zbMath1471.14113arXiv2008.08182MaRDI QIDQ2023420

Xiaohan Yan, Alexander Givental

Publication date: 3 May 2021

Published in: SIGMA. Symmetry, Integrability and Geometry: Methods and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2008.08182

zbMATH Keywords

Grassmannians\(K\)-theoryGromov-Witten invariantsnon-abelian localization

Mathematics Subject Classification ID

Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects) (14N35) Applications of methods of algebraic (K)-theory in algebraic geometry (14C35)

Related Items (5)

The Abelian/Nonabelian Correspondence and Gromov–Witten Invariants of Blow-Ups ⋮ Grothendieck lines in 3d \(\mathcal{N} = 2\) SQCD and the quantum K-theory of the Grassmannian ⋮ Virtual Coulomb branch and vertex functions ⋮ BPS indices, modularity and perturbations in quantum K-theory ⋮ Confluence in quantum \(K\)-theory of weak Fano manifolds and \(q\)-oscillatory integrals for toric manifolds

Cites Work

• Unnamed Item
• Unnamed Item
• Explicit reconstruction in quantum cohomology and \(K\)-theory
• Stable quasimaps to GIT quotients
• Quantum \(K\)-theory of quiver varieties and many-body systems
• Quantum Riemann-Roch, Lefschetz and Serre
• Quantum \(K\)-theory on flag manifolds, finite-difference Toda lattices and quantum groups
• Quantum \(K\)-theory. I: Foundations
• Two proofs of a conjecture of Hori and Vafa
• Permutation-equivariant quantum \(K\)-theory X. Quantum Hirzebruch-Riemann-Roch in genus 0
• Baxter \(Q\)-operator from quantum \(K\)-theory
• The \(B\)-model connection and mirror symmetry for Grassmannians
• Trigonometric weight functions as \(K\)-theoretic stable envelope maps for the cotangent bundle of a flag variety
• On integral representations of \(q\)-gamma and \(q\)-beta functions
• The Hirzebruch--Riemann--Roch theorem in true genus-0 quantum K-theory
• Gromov–Witten Invariants of Toric Fibrations
• Geometry of Moduli Spaces and Representation Theory
• K-Theoretic J-Functions of Type A Flag Varieties
• Equivariant Gromov - Witten Invariants
• Quantum groups and quantum cohomology
• Permutation-equivariant quantum K-theory I. Definitions. Elementary K-theory of $\overline{\mathcal M}_{0,n}/S_n$
• Gromov-Witten invariants for abelian and nonabelian quotients
• On the WDVV equation in quantum \(K\)-theory.

This page was built for publication: Quantum K-theory of Grassmannians and non-abelian localization