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arXiv · 1605.02235

Construction of right inverses of the Kirwan map

Andratx Bellmunt
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Abstract

Biinvariant diagonal classes give rise to right inverses of the Kirwan map. By means of multivalued perturbations of the gradient flow equation such classes are constructed explicitly for $S^1$-Hamiltonian spaces. Moreover, the notion of biinvariant diagonal class is extended to a cohomology map that gives extra topological information on the Hamiltonian space. The non-uniqueness of global biinvariant diagonal classes is also proven.

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Andratx Bellmunt. 2016-05-07. Construction of right inverses of the Kirwan map. https://arxiv.org/abs/1605.02235

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