Quantum cohomology rings of Lagrangian and orthogonal Grassmannians and total positivity
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Publication:3182548
DOI10.1090/S0002-9947-09-04720-5zbMath1215.14054arXivmath/0610793MaRDI QIDQ3182548
Publication date: 9 October 2009
Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/0610793
Homogeneous spaces and generalizations (14M17) Representation theory for linear algebraic groups (20G05) Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects) (14N35)
Related Items (2)
Quantum multiplication operators for Lagrangian and orthogonal Grassmannians ⋮ Hessenberg varieties, Slodowy slices, and integrable systems
Cites Work
- \(\lambda\)-rings and the representation theory of the symmetric group
- Pieri formula for \(SO_{2n+1}/U_ n\) and \(Sp_ n/U_ n\)
- Operator calculus for \(\widetilde{Q}\)-polynomials and Schubert polynomials
- Total positivity in Schubert varieties
- Quantum cohomology rings of Grassmannians and total positivity
- Flag manifold quantum cohomology, the Toda lattice, and the representation with highest weight \(\rho\)
- A mirror symmetric construction of \(qH_T^*(G/P)_{(q)}\)
- Formulas for Lagrangian and orthogonal degeneracy loci; the Q-polynomials approach
- Notes on stable maps and quantum cohomology
- Gromov-Witten invariants on Grassmannians
- Quantum cohomology of the Lagrangian Grassmannian
- Quantum cohomology of orthogonal Grassmannians
- Totally positive Toeplitz matrices and quantum cohomology of partial flag varieties
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