1 code implementation • 28 Oct 2023 • Daniel Robert-Nicoud, Andreas Krause, Viacheslav Borovitskiy
Various applications ranging from robotics to climate science require modeling signals on non-Euclidean domains, such as the sphere.
no code implementations • 8 Feb 2017 • Daniel Robert-Nicoud
The goal of the present paper is to introduce a smaller, but equivalent version of the Deligne-Hinich-Getzler $\infty$-groupoid associated to a homotopy Lie algebra.
Algebraic Topology Category Theory Quantum Algebra 17B55 (Primary) 18G55, 55U10 (Secondary)
no code implementations • 7 Feb 2017 • Daniel Robert-Nicoud
In order to solve two problems in deformation theory, we establish natural structures of homotopy Lie algebras and of homotopy associative algebras on tensor products of algebras of different types and on mapping spaces between coalgebras and algebras.
Quantum Algebra Algebraic Topology Category Theory 18D50 (Primary), 08C05, 18G55 (Secondary)