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- W2116457216 abstract "For any topological space X and integer n ≥ 1, denote by C n ( X ) the configuration space The symmetric group S n acts by permuting coordinates on C n ( X ) and we are concerned in this note with the induced graded representation of S n on the cohomology space H *( C n ( X )) = ⊕ i H i ( C n ( X ), ℂ), where H i denotes (singular or de Rham) cohomology. When X = ℂ, C n ( X ) is a K (π, 1) space, where π is the n -string pure braid group (cf. [3]). The corresponding representation of S n in this case was determined in [5], using the fact that C n ( C ) is a hyperplane complement and a presentation of its cohomology ring appears in [1] and in a more general setting, in [8] (see also [2])." @default.
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- W2116457216 date "1995-07-01" @default.
- W2116457216 modified "2023-09-26" @default.
- W2116457216 title "A toral configuration space and regular semisimple conjugacy classes" @default.
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- W2116457216 doi "https://doi.org/10.1017/s0305004100073497" @default.
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