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Vanishing cycles on Poisson varieties. (English. Russian original) Zbl 1348.14044

Funct. Anal. Appl. 49, No. 2, 135-141 (2015); translation from Funkts. Anal. Prilozh. 49, No. 2, 70-78 (2015).
This paper computes the characteristic cycles of intersection cohomology sheaves on transversal slices in a double affine Grassmannian.

MSC:

14F05 Sheaves, derived categories of sheaves, etc. (MSC2010)
14M15 Grassmannians, Schubert varieties, flag manifolds
22E67 Loop groups and related constructions, group-theoretic treatment
32S60 Stratifications; constructible sheaves; intersection cohomology (complex-analytic aspects)
53D17 Poisson manifolds; Poisson groupoids and algebroids
14F17 Vanishing theorems in algebraic geometry
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References:

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[4] M. Kashiwara and P. Schapira, Sheaves on Manifolds, 2nd ed., Grundlehren der Mathematischen Wissenschaften, vol. 292, Springer-Verlag, Berlin, 1994. · Zbl 0709.18001
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