Ilia Nekrasov

activity

20162024

most citedExplicit equations for exterior square of the general linear group

4 citations · 11 across the 9 of their papers we have counts for

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3 papers · 1 filter

math.GT2018★ 1 cited

Compactifications of $M_{0, n}$ associated with Alexander self-dual complexes: Chow ring, $ψ$ -classes and intersection numbers

Ilia Nekrasov, Gaiane Panina

An Alexander self-dual complex gives rise to a compactification of $M_{0, n}$ , called ASD compactification, which is a smooth algebraic variety. ASD compactifications include (but a…

math.GT2018

Geometric presentation for the cohomology ring of polygon spaces

Ilia Nekrasov, Gaiane Panina

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…

math.GT2017★ 1 cited

Intersection numbers of Chern classes of tautological line bundles on the moduli spaces of flexible polygons

Ilia Nekrasov, Gaiane Panina, Alena Zhukova

Given a flexible $n$ -gon with generic side lengths, the moduli space of its configurations in $R^{2}$ as well as in $R^{3}$ is a smooth manifold. It is equipped with…

Compactifications of M0,n​ associated with Alexander self-dual complexes: Chow ring, ψ-classes and intersection numbers

Geometric presentation for the cohomology ring of polygon spaces

Intersection numbers of Chern classes of tautological line bundles on the moduli spaces of flexible polygons

Compactifications of $M_{0, n}$ associated with Alexander self-dual complexes: Chow ring, $ψ$ -classes and intersection numbers