English

Vanishing cycles on Poisson varieties

Algebraic Geometry 2015-06-15 v2

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.

Keywords

Cite

@article{arxiv.1212.3051,
  title  = {Vanishing cycles on Poisson varieties},
  author = {Michael Finkelberg and Dmitry Kubrak},
  journal= {arXiv preprint arXiv:1212.3051},
  year   = {2015}
}

Comments

7 pages

R2 v1 2026-06-21T22:53:44.048Z