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arXiv · 1212.3051

Vanishing cycles on Poisson varieties

Michael Finkelberg·Dmitry Kubrak
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Abstract

We extend slightly the results of Evens-Mirkovi\'c, and "compute" the characteristic cycles of Intersection Cohomology sheaves on the transversal slices in the double affine Grassmannian and on the hypertoric varieties. We propose a conjecture relating the hyperbolic stalks and the microlocalization at a torus-fixed point in a Poisson variety.

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Michael Finkelberg, Dmitry Kubrak. 2012-12-13. Vanishing cycles on Poisson varieties. https://arxiv.org/abs/1212.3051

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