4 citations · 8 across the 4 of their papers we have counts for
6 papers
From solitons to many-body systems
David Ben-Zvi, Thomas Nevins
We present a bridge between the KP soliton equations and the Calogero-Moser many-body systems through noncommutative algebraic geometry. The Calogero-Moser systems have a natural g…
Geometric Realization of the Segal--Sugawara Construction
David Ben-Zvi, Edward Frenkel
We apply the technique of localization for vertex algebras to the Segal-Sugawara construction of an ``internal'' action of the Virasoro algebra on affine Kac-Moody algebras. The re…
Cusps and $\D$-Modules
David Ben-Zvi, Thomas Nevins
We study interactions between the categories of $\D$-modules on smooth and singular varieties. For a large class of singular varieties , we use an extension of the Grothendieck-…
Theta Functions and Szegö Kernels
David Ben-Zvi, Indranil Biswas
We study relations between two fundamental constructions associated to vector bundles on a smooth complex projective curve: the theta function (a section of a line bundle on the mo…
Opers and Theta Functions
David Ben-Zvi, Indranil Biswas
We construct natural maps (the Klein and Wirtinger maps) from moduli spaces of vector bundles on an algebraic curve to affine spaces, as quotients of the nonabelian theta linea…
Spectral Curves, Opers and Integrable Systems
David Ben-Zvi, Edward Frenkel
We establish a general link between integrable systems in algebraic geometry (expressed as Jacobian flows on spectral curves) and soliton equations (expressed as evolution equation…