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arXiv · 2412.18508

On the cohomology of varieties of chord diagrams

V. A. Vassiliev
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Abstract

We study the space of codimension two subalgebras in $C^\infty(S^1, {\mathbb R})$ defined by pairs of conditions $f(\varphi)=f(\psi)$, $\varphi \neq \psi \in S^1$, or by their limits. We compute the mod 2 cohomology ring of this space, and also the Stiefel--Whitney classes of the tautological vector bundle on it.

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V. A. Vassiliev. 2024-12-24. On the cohomology of varieties of chord diagrams. https://arxiv.org/abs/2412.18508

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