I. Nekrasov, G. Panina, “Geometric presentation for the cohomology ring of polygon spaces”, Алгебра и анализ, 2019, том 31, выпуск 1,страницы 80

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Статьи

Geometric presentation for the cohomology ring of polygon spaces

I. Nekrasov^a, G. Panina^bc

^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

Аннотация: 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.

Ключевые слова: polygonal linkage, Chern class, Euler class, intersection theory, moduli space.

MSC: 51M15

Поступила в редакцию: 13.02.2018

Язык публикации: английский