A FILTRATION ON EQUIVARIANT BOREL–MOORE HOMOLOGY
Keyword(s):
Let $G/H$ be a homogeneous variety and let $X$ be a $G$ -equivariant embedding of $G/H$ such that the number of $G$ -orbits in $X$ is finite. We show that the equivariant Borel–Moore homology of $X$ has a filtration with associated graded module the direct sum of the equivariant Borel–Moore homologies of the $G$ -orbits. If $T$ is a maximal torus of $G$ such that each $G$ -orbit has a $T$ -fixed point, then the equivariant filtration descends to give a filtration on the ordinary Borel–Moore homology of $X$ . We apply our findings to certain wonderful compactifications as well as to double flag varieties.
1998 ◽
Vol 189
(1)
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pp. 107-120
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2013 ◽
Vol 15
(03)
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pp. 1250056
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2001 ◽
Vol 64
(1)
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pp. 51-61
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2000 ◽
Vol 52
(2)
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pp. 265-292
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Keyword(s):
Keyword(s):