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

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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.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

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