Quantum Product and Parabolic Orbits in Homogeneous Spaces

DOI10.1080/00927872.2013.820736zbMath1310.14043arXiv1204.4992OpenAlexW1965678842MaRDI QIDQ5495272

Clélia Pech

Publication date: 31 July 2014

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

Full work available at URL: https://arxiv.org/abs/1204.4992

zbMATH Keywords

generalized flag varietiesHasse diagramsparabolic orbitsquantum product

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)

Related Items

Minimal bandwidth for \(\mathbb{C}^*\)-actions on generalized Grassmannians, Geometry of compact complex manifolds associated to generalized quasi-Fuchsian representations

Cites Work

• Affine symmetries of the equivariant quantum cohomology ring of rational homogeneous spaces
• Isotropic trialitarian algebraic groups
• \(\pi_1\) of symplectic automorphism groups and invertibles in quantum homology rings
• Group actions on Stanley-Reisner rings and invariants of permutation groups
• The Chow ring of the Cayley plane
• Quantum Cohomology of Minuscule Homogeneous Spaces II Hidden Symmetries
• Rational curves on homogeneous varieties.