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JOURNALS // Algebra i Analiz // Archive
Algebra i Analiz, 2019 Volume 31, Issue 1, Pages 80–91 (Mi aa1628)
This article is cited 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

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.

MSC: 51M15

Received: 13.02.2018

Language: English


 English version: St. Petersburg Mathematical Journal, 2020, 31:1, 59–67

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© Steklov Math. Inst. of RAS, 2025