Integral homology of real isotropic and odd orthogonal Grassmannians

zbMath1498.14123arXiv1604.02177MaRDI QIDQ2080653

Lonardo Rabelo, Jordan Lambert

Publication date: 10 October 2022

Published in: Osaka Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1604.02177

zbMATH Keywords

Schubert calculusboundary map coefficientsreal isotropic and odd orthogonal Grassmannians

Mathematics Subject Classification ID

Permutations, words, matrices (05A05) Grassmannians, Schubert varieties, flag manifolds (14M15) Homology and cohomology of homogeneous spaces of Lie groups (57T15) Combinatorial aspects of groups and algebras (05E16)

Related Items

A correspondence between boundary coefficients of real flag manifolds and height of roots

Cites Work

• Unnamed Item
• Orientability of vector bundles over real flag manifolds
• A Giambelli formula for isotropic Grassmannians
• Cellular homology of real maximal isotropic Grassmannians
• Integral homology of real flag manifolds and loop spaces of symmetric spaces
• Cellular homology of real flag manifolds
• De Rham 2-cohomology of real flag manifolds
• Pfaffian sum formula for the symplectic Grassmannians
• Combinatorics of Coxeter Groups
• Excited Young diagrams and equivariant Schubert calculus
• Covering relations of k-Grassmannian permutations of type B
• Excited Young diagrams, equivariant $K$-theory, and Schubert varieties
• Double theta polynomials and equivariant Giambelli formulas