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Russian Mathematical Surveys, 2010, Volume 65, Issue 3, Pages 399–432
DOI: https://doi.org/10.1070/RM2010v065n03ABEH004679 (Mi rm9357) 		 
This article is cited in 16 scientific papers (total in 16 papers)

Integration with respect to the Euler characteristic and its applications

S. M. Gusein-Zade

M. V. Lomonosov Moscow State University
English version PDF (637 kB) Citations (16)
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DOI: https://doi.org/10.1070/RM2010v065n03ABEH004679
Abstract: The notion of integration with respect to the Euler characteristic and its generalizations are discussed: integration over the infinite-dimensional spaces of arcs and functions, motivic integration. The author describes applications of these notions to the computation of monodromy zeta functions, Poincaré series of multi-index filtrations, generating series of classes of certain moduli spaces, and so on.
Bibliography: 70 titles.
Keywords: Euler characteristic, motivic integration.
Received: 20.01.2010
Russian version:
Uspekhi Matematicheskikh Nauk, 2010, Volume 65, Issue 3(393), Pages 5–42
DOI: https://doi.org/10.4213/rm9357
Bibliographic databases:
Document Type: Article
UDC: 515.171.5+512.717
MSC: 11S40, 14B05, 32Sxx, 57Qxx
Language: English
Original paper language: Russian
Citation: S. M. Gusein-Zade, “Integration with respect to the Euler characteristic and its applications”, Uspekhi Mat. Nauk, 65:3(393) (2010), 5–42; Russian Math. Surveys, 65:3 (2010), 399–432
Citation in format AMSBIB
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    • This publication is cited in the following 16 articles:
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    References:124
    First page:49
     
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