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Betti Numbers of Odd Biisotropic Symplectic Grassmannians
Abstract
We compute the singular cohomology groups of odd biisotropic symplectic Grassmannians S2Gr(k, 2n+1) by presenting an explicit dimension-preserving combinatorial bijection between the Bialynicki-Birula cells in S2Gr(k, 2n+1) and the Schubert cells in Gr(k, 2n+2−k).
Related
- The odd biisotropic symplectic Grassmannian S2Gr(3,7)
- Graded Betti numbers of graded Möbius algebras of uniform matroids
- The Betti numbers and Golodness of numerical semigroup rings of Sally type
- ℓ2-Betti numbers and Σ-invariants of graph products of cyclic groups and their automorphisms
- Characterizing Steiner Systems via Betti Numbers of Monomial Ideals
BibTeX
@misc{fonarev2026betti,
title = {{Betti Numbers of Odd Biisotropic Symplectic Grassmannians}},
author = {Anton Fonarev and Alexander Kuznetsov},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.03309},
eprint = {2610.03309},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.03309},
}
RIS
TY - UNPB
TI - Betti Numbers of Odd Biisotropic Symplectic Grassmannians
AU - Anton Fonarev
AU - Alexander Kuznetsov
PY - 2026
DA - 2026/10/02
PB - arXiv
DO - 10.48550/arxiv.2610.03309
UR - https://arxiv.org/abs/2610.03309
AB - We compute the singular cohomology groups of odd biisotropic symplectic Grassmannians S_2Gr(k, 2n+1) by presenting an explicit dimension-preserving combinatorial bijection between the Bialynicki-Birula cells in S_2Gr(k, 2n+1) and the Schubert cells in Gr(k, 2n+2−k).
ER -