5 papers · 1 filter
Symbols at infinity and Lie algebras of vector fields
Emile Bouaziz
If is smooth projective complex variety, is a simple normal crossings divisor and an ample divisor with support , then there is an associated filtration of the Lie a…
Elliptic loop spaces
Emile Bouaziz, Adeel A. Khan
We introduce an elliptic avatar of loop spaces in derived algebraic geometry, completing the familiar trichotomoy of rational, trigonometric and elliptic objects. Heuristically, th…
Spectral Flow Equivariance for Calabi-Yau Sigma Models
Emile Bouaziz
We write down an explicit operator on the chiral de Rham complex of a Calabi-Yau variety which intertwines the usual module structure with its twist by the spec…
The chiral critical locus and topological structures
Emile Bouaziz
We study a differential graded VOA associated to the derived critical locus of a function on a smooth oriented -dimensional variety . Informally, this VOA,…
A Remark on Higher Homotopy Sheaves of Derived Arc Spaces
E. Bouaziz
In their work, \cite{GR}, Gaitsgory and Rozenblyum introduce a derived version of the well-studied arc spaces of classical algebraic geometry. They observe that these derived space…