Thibaut Mazuir

activity

20212024

A_{\infty}

and

Ω B A s

-algebras in Morse theory II

1 citations · 1 across the 4 of their papers we have counts for

collaborators

4 papers

math.SG2024

Bialgebras, and Lie monoid actions in Morse and Floer theory, I

Guillem Cazassus, Alexander Hock, Thibaut Mazuir

We introduce a new family of oriented manifolds with boundaries called the forest biassociahedra and forest bimultiplihedra, generalizing the standard biassociahedra. They are defi…

math.AT2022

The diagonal of the multiplihedra and the tensor product of A-infinity morphisms

Guillaume Laplante-Anfossi, Thibaut Mazuir

We define a cellular approximation for the diagonal of the Forcey--Loday realizations of the multiplihedra, and endow them with a compatible topological cellular operadic bimodule…

math.SG2021★ 1 cited

Higher algebra of $A_{\infty}$ and $Ω B A s$ -algebras in Morse theory II

Thibaut Mazuir

This paper introduces the notion of $n$ -morphisms between two $A_{\infty}$ -algebras, such that 0-morphisms correspond to standard $A_{\infty}$ -morphisms and 1-morphisms correspond to $…

math.SG2021

Higher algebra of $A_{\infty}$ and $Ω B A s$ -algebras in Morse theory I

Thibaut Mazuir

Elaborating on works by Abouzaid and Mescher, we prove that for a Morse function on a smooth compact manifold, its Morse cochain complex can be endowed with an $Ω B A s$ -algebra stru…

Bialgebras, and Lie monoid actions in Morse and Floer theory, I

The diagonal of the multiplihedra and the tensor product of A-infinity morphisms

Higher algebra of A∞​ and ΩBAs-algebras in Morse theory II

Higher algebra of A∞​ and ΩBAs-algebras in Morse theory I

Higher algebra of $A_{\infty}$ and $Ω B A s$ -algebras in Morse theory II

Higher algebra of $A_{\infty}$ and $Ω B A s$ -algebras in Morse theory I