9 citations · 16 across the 5 of their papers we have counts for
6 papers · 1 filter
Stringy Chern classes of singular varieties
Tommaso de Fernex, Ernesto Lupercio, Thomas Nevins +1
Motivic integration and MacPherson's transformation are combined in this paper to construct a theory of "stringy" Chern classes for singular varieties. These classes enjoy strong b…
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…
Sklyanin algebras and Hilbert schemes of points
T. A. Nevins, J. T. Stafford
We construct projective moduli spaces for torsion-free sheaves on noncommutative projective planes. These moduli spaces vary smoothly in the parameters describing the noncommutativ…
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-…
Moduli spaces of framed sheaves on certain ruled surfaces over elliptic curves
Thomas A. Nevins
Fix a ruled surface S obtained as the projective completion of a line bundle L on a complex elliptic curve; we study the moduli problem of parametrizing certain pairs consisting of…
Representability for some moduli stacks of framed sheaves
Thomas A. Nevins
We prove a representability theorem for moduli functors of framed torsion-free sheaves on nonsingular complex projective surfaces, using formal geometry along a curve in the surfac…