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arxiv: 1303.0312 · v2 · pith:7HJRGQ56new · submitted 2013-03-01 · 🧮 math.AT

Polynomial Assignments

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keywords assignmentsdataggk99actionsaffirmativeanswercohomologycombinatorial
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The concept of assignments was introduced in [GGK99] as a method for extracting geometric information about group actions on manifolds from combinatorial data encoded in the infinitesimal orbit-type stratification. In this paper we will answer in the affirmative a question posed in [GGK99] by showing that the equivariant cohomology ring of $M$ is to a large extent determined by this data.

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