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Vanishing cycles on Poisson varieties

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Abstract

We slightly extend results of Evens and Mirković and “compute” the characteristic cycles of intersection cohomology sheaves on transversal slices in a double affine Grassmannian. We propose a conjecture relating the hyperbolic stalks and microlocalization at a torus-fixed point in a Poisson variety.

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Authors and Affiliations

  1. Department of Mathematics, National Research University Higher School of Economics, Institute for Information Transmission Problems of RAS, Moscow, Russia

    M. V. Finkelberg

  2. Laboratory of Algebraic Geometry, National Research University Higher School of Economics, Moscow, Russia

    D. V. Kubrak

Authors
  1. M. V. Finkelberg
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  2. D. V. Kubrak
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Corresponding author

Correspondence to M. V. Finkelberg.

Additional information

Translated from Funktsional’nyi Analiz i Ego Prilozheniya, Vol. 49, No. 2, pp. 70–78, 2015

Original Russian Text Copyright © by M. V. Finkelberg and D. V. Kubrak

To Vadim Schechtman on his 60th birthday

The research of M. F. was carried out at the IITP RAS at the expense of the Russian Science Foundation (project no. 14-50-00150). The article was prepared by D. K. within the framework of a subsidy granted to the Higher School of Economics by the Government of the Russian Federation for the implementation of the Global Competitiveness Program.

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Finkelberg, M.V., Kubrak, D.V. Vanishing cycles on Poisson varieties. Funct Anal Its Appl 49, 135–141 (2015). https://doi.org/10.1007/s10688-015-0095-y

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  • DOI: https://doi.org/10.1007/s10688-015-0095-y

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