Equivariant Cohomology of Configurations in Rd
by Lehrer, G. I.
An explicit formula is given for the graded trace of a permutation acting on the cohomology of the space of configurations of n ordered distinct points of R
d
. This is applied to determine the top and total cohomology as modules for the symmetric group, and to locate the occurrence of the alternating representation.
DOI: 10.1023/A:1009906210797
Print publication date: 12/1/2000
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