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arXiv · 1303.0312

Polynomial Assignments

Victor Guillemin·Silvia Sabatini·Catalin Zara
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Abstract

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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Victor Guillemin, Silvia Sabatini, Catalin Zara. 2013-03-01. Polynomial Assignments. https://arxiv.org/abs/1303.0312

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