Affine nil-Hecke algebras and quantum cohomology
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Publication:2684523
DOI10.1016/j.aim.2023.108867OpenAlexW4319213287MaRDI QIDQ2684523
Publication date: 16 February 2023
Published in: Advances in Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2202.05785
Gromov-Witten invariants, quantum cohomology, Frobenius manifolds (53D45) Geometric Langlands program: representation-theoretic aspects (22E57) Symplectic aspects of mirror symmetry, homological mirror symmetry, and Fukaya category (53D37)
Cites Work
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- Gamma classes and quantum cohomology of Fano manifolds: gamma conjectures
- Shift operators and toric mirror theorem
- Quantum cohomology of the Springer resolution
- Quantum cohomology of \(G/P\) and homology of affine Grassmannian
- The quantum differential equation of the Hilbert scheme of points in the plane
- Intersection homology. II
- T-equivariant K-theory of generalized flag varieties
- The rôle of Coulomb branches in 2D gauge theory
- Quantum characteristic classes and the Hofer metric
- The moment map and equivariant cohomology
- Transformation groups
- The nil Hecke ring and cohomology of \(G/P\) for a Kac-Moody group \(G\)
- Quantum cohomology of flag manifolds \(G/B\) and quantum Toda lattices.
- \(\pi_1\) of symplectic automorphism groups and invertibles in quantum homology rings
- Equivariant intersection theory (With an appendix by Angelo Vistoli: The Chow ring of \({\mathcal M}_2\))
- A bordism-type description of homology
- Boundaries, mirror symmetry, and symplectic duality in \(3d \mathcal{N}=4 \) gauge theory
- The nil Hecke ring and Deodhar's conjecture on Bruhat intervals
- Positivity in equivariant Schubert calculus.
- Kac-Moody groups, their flag varieties and representation theory
- Quantum cohomology of flag manifolds and Toda lattices
- The nil Hecke ring and singularity of Schubert varieties
- A mirror construction for the big equivariant quantum cohomology of toric manifolds
- Nil-Hecke algebras and Whittaker \(\mathfrak{D}\)-modules
- \(k\)-Schur functions and affine Schubert calculus
- Equivariant Poincaré-Alexander-Lefschetz duality and the Cohen-Macaulay property
- Towards a mathematical definition of Coulomb branches of 3-dimensional \(\mathcal{N} = 4\) gauge theories. II.
- Equivariant cohomology, syzygies and orbit structure
- The Integrability of the Characteristic Variety
- Syzygies in Equivariant Cohomology for Non-abelian Lie Groups
- Equivariant homology and K-theory of affine Grassmannians and Toda lattices
- Generating the Fukaya categories of Hamiltonian 𝐺-manifolds
- Gauge theory and mirror symmetry
- Quantum groups and quantum cohomology
- Schubert polynomials for the affine Grassmannian
- Poincaré duality and equivariant (co)homology.