Rational smoothness, cellular decompositions and GKM theory
Algebraic Geometry
2014-11-11 v2 Algebraic Topology
Abstract
We introduce the notion of Q-filtrable varieties: projective varieties with a torus action and a finite number of fixed points, such that the cells of the associated Bialynicki-Birula decomposition are all rationally smooth. Our main results develop GKM theory in this setting. We also supply a method for building nice combinatorial bases on the equivariant cohomology of any Q-filtrable GKM variety. Applications to the theory of group embeddings are provided.
Cite
@article{arxiv.1112.0365,
title = {Rational smoothness, cellular decompositions and GKM theory},
author = {Richard Gonzales},
journal= {arXiv preprint arXiv:1112.0365},
year = {2014}
}
Comments
27 pages, minor changes in the exposition