Leonid Ryvkin

collaborators

7 papers

math-ph2026

Poisson bundles over unordered configurations

Alessandra Frabetti, Olga Kravchenko, Leonid Ryvkin

In this paper we construct a Poisson algebra bundle whose distributional sections are suitable to represent multilocal observables in classical field theory. To do this, we work wi…

math.DG2026

Differentiating $L_{\infty}$ groupoids

Du Li, Leonid Ryvkin, Arne Wessel +1

Differentiating an Lie $n$ -groupoid via the differential-geometric fat point a priori only yielads a presheaf of graded manifolds. In this article we prove that this presheaf is re…

math.DG2025

A singular Serre-Swan theorem via tepui fibrations

Alfonso Garmendia, David Miyamoto, Leonid Ryvkin

The classical Serre-Swan theorem asserts that any finitely generated projective module over the algebra $C^{\infty} (M)$ of smooth functions of a manifold $M$ can be realized as the s…

math.DG2025

Universal central extension of the Lie algebra of exact divergence-free vector fields

Bas Janssens, Leonid Ryvkin, Cornelia Vizman

We construct the universal central extension of the Lie algebra of exact divergence-free vector fields, proving a conjecture by Claude Roger from 1995. The proof relies on the anal…

math.SG2025

Multisymplectic observable reduction using constraint triples

Antonio Michele Miti, Leonid Ryvkin

The purpose of this paper is to present a fully algebraic formalism for the construction and reduction of $L_{\infty}$ -algebras of observables inspired by multisymplectic geometry, u…

cs.LG2025

Comparison of different Unique hard attention transformer models by the formal languages they can recognize