On the Spectrum of the Equivariant Cohomology Ring
Canadian journal of mathematics, Tome 62 (2010) no. 2, pp. 262-283
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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.
Goresky, Mark; MacPherson, Robert. On the Spectrum of the Equivariant Cohomology Ring. Canadian journal of mathematics, Tome 62 (2010) no. 2, pp. 262-283. doi: 10.4153/CJM-2010-016-4
@article{10_4153_CJM_2010_016_4,
author = {Goresky, Mark and MacPherson, Robert},
title = {On the {Spectrum} of the {Equivariant} {Cohomology} {Ring}},
journal = {Canadian journal of mathematics},
pages = {262--283},
year = {2010},
volume = {62},
number = {2},
doi = {10.4153/CJM-2010-016-4},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CJM-2010-016-4/}
}
TY - JOUR AU - Goresky, Mark AU - MacPherson, Robert TI - On the Spectrum of the Equivariant Cohomology Ring JO - Canadian journal of mathematics PY - 2010 SP - 262 EP - 283 VL - 62 IS - 2 UR - http://geodesic.mathdoc.fr/articles/10.4153/CJM-2010-016-4/ DO - 10.4153/CJM-2010-016-4 ID - 10_4153_CJM_2010_016_4 ER -
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