Benjamin Hennion

activity

20132025

most citedTangent Lie algebra of derived Artin stacks

9 citations · 29 across the 9 of their papers we have counts for

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9 papers · 1 filter

math.AG2025

Gluing invariants of Donaldson--Thomas type -- Part II: Matrix factorizations

Benjamin Hennion, Julian Holstein, Marco Robalo

This paper is a follow-up to arXiv:2407.08471. Let $X$ be a a $(- 1)$ -shifted symplectic derived Deligne--Mumford stack. Thanks to the Darboux lemma of Brav--Bussi--Joyce, $X$ is lo…

math.AG2024

Gluing invariants of Donaldson--Thomas type -- Part I: the Darboux stack

Benjamin Hennion, Julian Holstein, Marco Robalo

Let $X$ be a (-1)-shifted symplectic derived Deligne--Mumford stack. In this paper we introduce the Darboux stack of $X$ , parametrizing local presentations of $X$ as a derived crit…

math.AG2022

A flag version of Beilinson-Drinfeld Grassmannian for surfaces

Benjamin Hennion, Valerio Melani, Gabriele Vezzosi

In this paper we define and study a generalization of the Belinson-Drinfeld Grassmannian to the case where the curve is replaced by a smooth projective surface $X$ , and the trivial…

math.AG2020★ 5 cited

Higher dimensional formal loop spaces

Benjamin Hennion

If $M$ is a symplectic manifold then the space of smooth loops $C^{\infty} (S^{1}, M)$ inherits of a quasi-symplectic form. We will focus in this article on an algebrai…

math.AG2018★ 1 cited

Gelfand-Fuchs cohomology in algebraic geometry and factorization algebras

Benjamin Hennion, Mikhail Kapranov

Let X be a smooth affine variety over a field k of characteristic 0 and T(X) be the Lie algebra of regular vector fields on X. We compute the Lie algebra cohomology of T(X) with co…

math.AG2017

Higher Kac-Moody algebras and moduli spaces of G-bundles

Giovanni Faonte, Benjamin Hennion, Mikhail Kapranov

We provide a generalization to the higher dimensional case of the construction of the current algebra g((z)), of its Kac-Moody extension and of the classical results relating them…

math.AG2016★ 5 cited

Formal gluing along non-linear flags

Benjamin Hennion, Mauro Porta, Gabriele Vezzosi

In this paper we prove formal glueing along an arbitrary closed substack $Z$ of an arbitrary Artin stack $X$ (locally of finite type over a field $k$ ), for the stacks of (almost) p…

math.AG2014★ 3 cited

Formal loops, Tate objects and tangent Lie algebras

Benjamin Hennion

If $M$ is a symplectic manifold then the space of smooth loops $C^{\infty} (S^{1}, M)$ inherits of a quasi-symplectic form. We will focus in this thesis on an algebraic…

math.AG2013★ 9 cited

Tangent Lie algebra of derived Artin stacks

Benjamin Hennion

Since the work of Mikhail Kapranov in [Kap], it is known that the shifted tangent complex $T_{X} [- 1]$ of a smooth algebraic variety $X$ is endowed with a weak Lie structure.…