Galkin’s lower bound conjecture holds for the Grassmannian

DOI10.1080/00927872.2019.1663383zbMath1442.14173arXiv2006.11960OpenAlexW2973904723MaRDI QIDQ4959894

La'Tier Evans, Stephanie Warman, Lisa Schneider, Ryan M. Shifler, Laura Short

Publication date: 7 April 2020

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2006.11960

zbMATH Keywords

quantum cohomologyalgebraic geometryconjecture O

Mathematics Subject Classification ID

Grassmannians, Schubert varieties, flag manifolds (14M15) Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects) (14N35) Positive matrices and their generalizations; cones of matrices (15B48) Classical problems, Schubert calculus (14N15)

Related Items (4)

On Frobenius-Perron dimension ⋮ On the spectral properties of the quantum cohomology of odd quadrics ⋮ On the quantum cohomology of blow-ups of four-dimensional quadrics ⋮ Galkin's Lower bound Conjecure for Lagrangian and orthogonal Grassmannians

Cites Work

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• Quantum Schubert calculus
• Quantum cohomology rings of Grassmannians and total positivity
• Gromov-Witten classes, quantum cohomology, and enumerative geometry
• An analogue of Dubrovin's conjecture
• Gamma conjecture via mirror symmetry
• Quantum multiplication operators for Lagrangian and orthogonal Grassmannians
• Notes on stable maps and quantum cohomology
• Conjecture O holds for the odd symplectic Grassmannian
• Quantum cohomology of Grassmannians and cyclotomic fields

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