 |
|
On the Spectrum of the Equivariant Cohomology Ring |
Canad. J. Math. 62(2010), 262-283
Published:2009-12-04
Printed: Apr 2010
Printed: Apr 2010
- Mark Goresky
- Robert MacPherson
Abstract
If an algebraic torus $T$ acts on a complex projective algebraic
variety $X$, then the affine scheme $\operatorname{Spec}
H^*_T(X;\mathbb C)$ associated with the equivariant cohomology is
often an arrangement of linear subspaces of the vector space
$H_2^T(X;\mathbb C).$ In many situations the ordinary cohomology ring
of $X$ can be described in terms of this arrangement.
| MSC Classifications: |
14L30 - Group actions on varieties or schemes (quotients) [See also 13A50, 14L24, 14M17] 54H15 - Transformation groups and semigroups [See also 20M20, 22-XX, 57Sxx] |