An affine quantum cohomology ring for flag manifolds and the periodic Toda lattice

DOI10.1112/plms.12077zbMath1443.14059arXiv1409.3587OpenAlexW3125182057MaRDI QIDQ4603019

Leonardo C. Mihalcea, Augustin-Liviu Mare

Publication date: 8 February 2018

Published in: Proceedings of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1409.3587

Mathematics Subject Classification ID

Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras (17B67) Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Grassmannians, Schubert varieties, flag manifolds (14M15) Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects) (14N35) Dynamical systems in other branches of physics (quantum mechanics, general relativity, laser physics) (37N20)

Related Items (4)

Equivariant quantum cohomology of the odd symplectic Grassmannian ⋮ On the complete integrability of the periodic quantum Toda lattice ⋮ Curve neighborhoods of Schubert varieties in the odd symplectic Grassmannian ⋮ Classification of cocovers in the double affine Bruhat order

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