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Funktsional'nyi Analiz i ego Prilozheniya, 2015, Volume 49, Issue 2, Pages 70–78
DOI: https://doi.org/10.4213/faa3180 (Mi faa3180) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Vanishing cycles on Poisson varieties

D. V. Kubraka, M. V. Finkel'bergbc

a Laboratory of algebraic geometry and its applications, Higher School of Economics, Moscow
b Department of Mathematics, National Research University "Higher School of Economics"
c Institute for Information Transmission Problems of the Russian Academy of Sciences (Kharkevich Institute), Moscow
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DOI: https://doi.org/10.4213/faa3180
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.
Keywords: vanishing cycles, Poisson varieties, Uhlenbeck spaces, double affine Grassmannian.
Funding agency Grant number
Russian Science Foundation 14-50-00150
Ministry of Education and Science of the Russian Federation
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.
Received: 09.03.2013
English version:
Functional Analysis and Its Applications, 2015, Volume 49, Issue 2, Pages 135–141
DOI: https://doi.org/10.1007/s10688-015-0095-y
Bibliographic databases:
Document Type: Article
UDC: 514.747.2
Language: Russian
Citation: D. V. Kubrak, M. V. Finkel'berg, “Vanishing cycles on Poisson varieties”, Funktsional. Anal. i Prilozhen., 49:2 (2015), 70–78; Funct. Anal. Appl., 49:2 (2015), 135–141
Citation in format AMSBIB
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  • https://doi.org/10.4213/faa3180
  • https://www.mathnet.ru/eng/faa/v49/i2/p70
    • This publication is cited in the following 1 articles:
    1. T. Braden, C. Mautner, “Ringel duality for perverse sheaves on hypertoric varieties”, Adv. Math., 344 (2019), 35–98  crossref  mathscinet  zmath  isi  scopus
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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    Full-text PDF :185
    References:61
    First page:28
     
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