Quantum generalization of the Horn conjecture
From MaRDI portal
Publication:5441368
DOI10.1090/S0894-0347-07-00584-XzbMath1134.14029arXivmath/0303013WikidataQ60326246 ScholiaQ60326246MaRDI QIDQ5441368
Publication date: 12 February 2008
Published in: Journal of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/0303013
Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects) (14N35) Algebraic moduli problems, moduli of vector bundles (14D20)
Related Items
On Frobenius-Perron dimension, Nonvanishing of conformal blocks divisors on \(\overline{\mathrm{M}}_{0,n} \), On \(S_n\)-invariant conformal blocks vector bundles of rank one on \(\overline{M}_{0,n}\), Scaling of conformal blocks and generalized theta functions over \(\overline{\mathcal {M}}_{g,n}\), Rigid local systems and the multiplicative eigenvalue problem, PRV for the fusion product, the case \(\lambda \gg \mu \), Hofer's metric in compact Lie groups, Verlinde/Grassmannian correspondence and rank 2 \(\delta\)-wall-crossing, The multiplicative eigenvalue problem and deformed quantum cohomology, Nonabelian theta functions of positive genus, Conformal blocks, Berenstein-Zelevinsky triangles, and group-based models, Geometric proof of a conjecture of Fulton, On finite generation of the section ring of the determinant of cohomology line bundle, Eigenvalues of Hermitian matrices and equivariant cohomology of Grassmannians, Quantum Kostka and the rank one problem for \(\mathfrak{sl}_{2m}\), The strange duality conjecture for generic curves, Metric geometry of infinite-dimensional Lie groups and their homogeneous spaces, Eigenvalue problem and a new product in cohomology of flag varieties, The ring structure of twisted equivariant \(KK\)-theory for noncompact Lie groups, Geometric proofs of Horn and saturation conjectures, Vanishing of Littlewood-Richardson polynomials is in P, Holomorphic vector bundles on Sasakian threefolds and parabolic vector bundles
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Schubert induction
- Eigenvalues of sums of Hermitian matrices
- Moduli of vector bundles on curves with parabolic structures
- Fusion rings and geometry
- Stable bundles, representation theory and Hermitian operators
- Quantum Schubert calculus
- Elementary transversality in the Schubert calculus in any characteristic
- Eigenvalues of products of unitary matrices and quantum Schubert calculus
- Moduli spaces of parabolic fibres and conformal blocks
- Affine approach to quantum Schubert calculus
- Geometric proofs of Horn and saturation conjectures
- A CRITERION FOR THE EXISTENCE OF A PARABOLIC STABLE BUNDLE OF RANK TWO OVER THE PROJECTIVE LINE
- The honeycomb model of $GL_n(\mathbb C)$ tensor products I: Proof of the saturation conjecture
- Notes on stable maps and quantum cohomology
- Pieri’S Formula Via Explicit Rational Equivalence
- On the quantum product of Schubert classes
- Degree bounds in quantum Schubert calculus
- Transformation formulas in quantum cohomology
- Conformal blocks, fusion rules and the Verlinde formula
- Real rational curves in Grassmannians
- Eigenvalues, invariant factors, highest weights, and Schubert calculus
- Lectures on Curves on an Algebraic Surface. (AM-59)
- Eigenvalues of majorized Hermitian matrices and Littlewood-Richardson coefficients
