On the Spectrum of the Equivariant Cohomology Ring

Goresky, Mark ; MacPherson, Robert

Canadian journal of mathematics, Tome 62 (2010) no. 2, pp. 262-283

Résumé

If an algebraic torus $T$ acts on a complex projective algebraic variety $X$ , then the affine scheme $\text{Spec}\,H_{T}^{*}\left( X;\,\mathbb{C} \right)$ associated with the equivariant cohomology is often an arrangement of linear subspaces of the vector space $H_{2}^{T}\left( X;\,\mathbb{C} \right)$ . In many situations the ordinary cohomology ring of $X$ can be described in terms of this arrangement.

Détail

DOI : 10.4153/CJM-2010-016-4

Mots-clés : 14L30, 54H15

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