Rational smoothness, cellular decompositions and GKM theory

Details Rational smoothness, cellular decompositions and GKM theory Rational smoothness, cellular decompositions and GKM theory

2011-12-02

arxiv.org/abs/1112.0365v1

Mathematics

Algebraic Geometry

27 pages

Scientific paper

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.

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