9 citations · 29 across the 9 of their papers we have counts for
11 papers
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 be a a -shifted symplectic derived Deligne--Mumford stack. Thanks to the Darboux lemma of Brav--Bussi--Joyce, is lo…
Gluing invariants of Donaldson--Thomas type -- Part I: the Darboux stack
Benjamin Hennion, Julian Holstein, Marco Robalo
Let be a (-1)-shifted symplectic derived Deligne--Mumford stack. In this paper we introduce the Darboux stack of , parametrizing local presentations of as a derived crit…
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 , and the trivial…
Higher dimensional formal loop spaces
Benjamin Hennion
If is a symplectic manifold then the space of smooth loops inherits of a quasi-symplectic form. We will focus in this article on an algebrai…
The tangent complex of K-theory
Benjamin Hennion
We prove that the tangent complex of K-theory, in terms of (abelian) deformation problems over a characteristic 0 field k, is cyclic homology (over k). This equivalence is compatib…
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…
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…
Formal gluing along non-linear flags
Benjamin Hennion, Mauro Porta, Gabriele Vezzosi
In this paper we prove formal glueing along an arbitrary closed substack of an arbitrary Artin stack (locally of finite type over a field ), for the stacks of (almost) p…
Tate objects in stable -categories
Benjamin Hennion
Tate objects have been studied by many authors. They allow us to deal with infinite dimensional spaces by identifying some more structure. In this article, we set up the theory of…
Formal loops, Tate objects and tangent Lie algebras
Benjamin Hennion
If is a symplectic manifold then the space of smooth loops inherits of a quasi-symplectic form. We will focus in this thesis on an algebraic…
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 of a smooth algebraic variety is endowed with a weak Lie structure.…