2 citations · 3 across the 7 of their papers we have counts for
7 papers
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 of smooth functions of a manifold can be realized as the s…
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 -algebras of observables inspired by multisymplectic geometry, u…
Comparison of different Unique hard attention transformer models by the formal languages they can recognize
Leonid Ryvkin
This note is a survey of various results on the capabilities of unique hard attention transformers encoders (UHATs) to recognize formal languages. We distinguish between masked vs.…
Iconicity in Large Language Models
Anna Marklová, Jiří Milička, Leonid Ryvkin +2
Lexical iconicity, a direct relation between a word's meaning and its form, is an important aspect of every natural language, most commonly manifesting through sound-meaning associ…
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…
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…
Differentiating groupoids
Du Li, Leonid Ryvkin, Arne Wessel +1
Differentiating an Lie -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…