Vanishing cycles on Poisson varieties

M. V. Finkelberg; D. V. Kubrak

doi:10.1007/s10688-015-0095-y

Vanishing cycles on Poisson varieties

M. V. Finkelberg^*
, D. V. Kubrak

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

2 Scopus citations

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.

Original language	English
Pages (from-to)	135-141
Number of pages	7
Journal	Functional Analysis and its Applications
Volume	49
Issue number	2
DOIs	https://doi.org/10.1007/s10688-015-0095-y
State	Published - 19 Apr 2015
Externally published	Yes

Bibliographical note

Publisher Copyright:
© 2015, Springer Science+Business Media New York.

Keywords

Poisson varieties
Uhlenbeck spaces
double affine Grassmannian
vanishing cycles

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10.1007/s10688-015-0095-y

Cite this

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title = "Vanishing cycles on Poisson varieties",

abstract = "We slightly extend results of Evens and Mirkovi{\'c} 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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AU - Finkelberg, M. V.

AU - Kubrak, D. V.

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AB - 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.

KW - Poisson varieties

KW - Uhlenbeck spaces

KW - double affine Grassmannian

KW - vanishing cycles

UR - https://www.scopus.com/pages/publications/84935876958

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Vanishing cycles on Poisson varieties

Abstract

Bibliographical note

Keywords

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