11 citations · 12 across the 10 of their papers we have counts for
11 papers
Infinitesimally Equivariant Bundles on Complex Manifolds
Emile Bouaziz
We show that any continuous -linear Lie algebra splitting of the symbol map from the Atiyah algebra of a vector bundle on a complex manifold is given by a differential…
Annihilators of -modules and differential operators
Emile Bouaziz, Henrique Rocha
For a smooth algebraic variety , we study the category of finitely generated modules over the ring of function of that has a compatible action of the Lie algebra $\mathcal{V…
Non-Archimedean Fréchet Algebras and the Loop Space of a Hypersurface Complement
Emile Bouaziz
We study the space of loops into a hypersurface complement, and show that the corresponding topological algebra of Laurent series with coefficients in $\mathcal{O}(L\mathbf{A}^{d}_…
Derived Geometry and Non-Linear Differential Equations on the Punctured Disc
Emile Bouaziz
We study non-linear differential equations on the punctured formal disc by considering the natural derived enhancements of their spaces of solutions. In particular, by appealing to…
Topology of Singularities on Algebraic Loop Spaces
Emile Bouaziz
We study the topology of some simple infinite dimensional singularities arising from spaces of \emph{algebraic formal loops}. We prove that in some simple cases the natural analogu…
Tamarkin-Tsygan Calculus and Chiral Poisson Cohomology
E. Bouaziz
We construct and study some vertex theoretic invariants associated to Poisson varieties, specialising in the conformal weight case to the familiar package of Poisson homology a…
Poisson Vertex Cohomology and Tate Lie Algebroids
Emile Bouaziz
We study sheaves on holomorphic spaces of loops and apply this to the study of the complex, defined in \cite{BdSHK}, governing deformations of the \emph{Poisson vertex algebra} str…
Infinite Type D-modules and Higher Depth Mock Modular Forms I
E. Bouaziz
We study natural D-modules on the moduli stack of elliptic curves over a field of characteristic zero. We use this to produce an algebro-geometric version of the algebra of higher…
The Topology of Meromorphic Loop Spaces of Smooth Curves
E. Bouaziz
We study the topology of the complex points of the algebraic loop space of a smooth curve.
A Note on Semi-Infinite Non-Commutative Hodge Theory and LG-Models
E. Bouaziz
We study some semi-infinite invariants associated to Landau-Ginzburg models. These specialize classically to the usual twisted de Rham package and in the case of vanishing potentia…
A d-shifted Darboux theorem
E. Bouaziz, I. Grojnowski
We give a local model for d-shifted symplectic dg-schemes, or Deligne-Mumford dg-stacks [PTVV]. Locally any such is a product of a "twisted shifted cotangent bundle", where the twi…