Geodesic
Vanishing cycles on Poisson varieties
Funkcionalʹnyj analiz i ego priloženiâ, Tome 49 (2015) no. 2, pp. 70-78

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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.
Keywords: vanishing cycles, Poisson varieties, Uhlenbeck spaces, double affine Grassmannian. 
@article{FAA_2015_49_2_a6,
     author = {D. V. Kubrak and M. V. Finkel'berg},
     title = {Vanishing cycles on {Poisson} varieties},
     journal = {Funkcionalʹnyj analiz i ego prilo\v{z}eni\^a},
     pages = {70--78},
     publisher = {mathdoc},
     volume = {49},
     number = {2},
     year = {2015},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/FAA_2015_49_2_a6/}
}
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D. V. Kubrak; M. V. Finkel'berg. Vanishing cycles on Poisson varieties. Funkcionalʹnyj analiz i ego priloženiâ, Tome 49 (2015) no. 2, pp. 70-78. http://geodesic.mathdoc.fr/item/FAA_2015_49_2_a6/