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Algebra i Analiz, 2019, Volume 31, Issue 1, Pages 80–91 (Mi aa1628)  
This article is cited in 1 scientific paper (total in 1 paper)

Research Papers

Geometric presentation for the cohomology ring of polygon spaces

I. Nekrasova, G. Paninabc

a Chebyshev Laboratory, St. Petersburg State University, St. Petersburg, Russia
b St. Petersburg State University, St. Petersburg, Russia
c St. Petersburg Department of the Steklov Mathematical Institute, St. Petersburg, Russia
Full-text PDF (202 kB) Citations (1)
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Abstract: We describe the cohomology ring of the moduli space of a flexible polygon in geometrically meaningful terms. We propose two presentations, both are computation friendly: there are simple rules for the cup product.
Keywords: polygonal linkage, Chern class, Euler class, intersection theory, moduli space.
Funding agency Grant number
Russian Science Foundation 16-11-10039
This research is supported by the Russian Science Foundation under grant №16-11-10039.
Received: 13.02.2018
English version:
St. Petersburg Mathematical Journal, 2020, Volume 31, Issue 1, Pages 59–67
DOI: https://doi.org/10.1090/spmj/1584
Bibliographic databases:
Document Type: Article
MSC: 51M15
Language: English
Citation: I. Nekrasov, G. Panina, “Geometric presentation for the cohomology ring of polygon spaces”, Algebra i Analiz, 31:1 (2019), 80–91; St. Petersburg Math. J., 31:1 (2020), 59–67
Citation in format AMSBIB
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\by I.~Nekrasov, G.~Panina
\paper Geometric presentation for the cohomology ring of polygon spaces
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\vol 31
\issue 1
\pages 80--91
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\transl
\jour St. Petersburg Math. J.
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\vol 31
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\pages 59--67
\crossref{https://doi.org/10.1090/spmj/1584}
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Linking options:
  • https://www.mathnet.ru/eng/aa1628
  • https://www.mathnet.ru/eng/aa/v31/i1/p80
    • This publication is cited in the following 1 articles:
    1. Ilia I. Nekrasov, Gaiane Yu. Panina, “Compactifications of M0,n Associated with Alexander Self-Dual Complexes: Chow Rings, ψ-Classes, and Intersection Numbers”, Proc. Steklov Inst. Math., 305 (2019), 232–250  mathnet  crossref  crossref  mathscinet  isi  elib
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Алгебра и анализ St. Petersburg Mathematical Journal
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    Full-text PDF :45
    References:40
    First page:10
     
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