Equivariant cohomology theories and the pattern map
Algebraic Geometry
2016-03-15 v3
Abstract
Billey and Braden defined a geometric pattern map on flag manifolds which extends the generalized pattern map of Billey and Postnikov on Weyl groups. The interaction of this torus equivariant map with the Bruhat order and its action on line bundles lead to formulas for its pullback on the equivariant cohomology ring and on equivariant K-theory. These formulas are in terms of the Borel presentation, the basis of Schubert classes, and localization at torus fixed points.
Cite
@article{arxiv.1506.04411,
title = {Equivariant cohomology theories and the pattern map},
author = {Praise Adeyemo and Frank Sottile},
journal= {arXiv preprint arXiv:1506.04411},
year = {2016}
}
Comments
15 pages, minor revisions