Torus fixed points in Schubert varieties and normalized median Genocchi numbers
Representation Theory
2016-06-15 v2 Algebraic Geometry
Combinatorics
Abstract
We give a new proof for the fact that the number of torus fixed points for the degenerated flag variety is equal to the normalized median Genocchi number, using the identification with a certain Schubert variety. We further study the torus fixed points for the symplectic degenerated flag variety and develop a combinatorial model, symplectic Dellac configurations, so parametrize them. The number of these symplectic fixed points is conjectured to be the median Euler number.
Keywords
Cite
@article{arxiv.1504.03980,
title = {Torus fixed points in Schubert varieties and normalized median Genocchi numbers},
author = {Xin Fang and Ghislain Fourier},
journal= {arXiv preprint arXiv:1504.03980},
year = {2016}
}
Comments
title changed, 12 pages, to appear in S\'eminaire Lotharingien de Combinatoire