The first goal of this survey paper is to argue that if orbifolds are groupoids, then the
collection of orbifolds and their maps has to be thought of as a 2-category. Compare this with …

The ADHM construction establishes a one-to-one correspondence between framed torsion
free sheaves on the projective plane and stable framed representations of a quiver with …

Monads for framed sheaves on Hirzebruch surfaces Page 1 DOI 10.1515/advgeom-2014-0027
Adv. Geom. 2015; 15 (1):55–76 Claudio Bartocci, Ugo Bruzzo and Claudio LS Rava Monads …

We study vector bundles on the moduli stack of elliptic curves over a local ring R. If R is a
field or a discrete valuation ring of (residue) characteristic not 2 or 3, all these vector bundles …

We prove that the Gromov-Hausdorff compactification of the moduli space of Kahler-Einstein
Del Pezzo surfaces in each degree agrees with certain algebro-geometric compactification …

We study the categories of modules over real K-theory and TMF. Inspired by work of
Bousfield, we consider TMF-modules at the prime 3 which are relatively free with respect to …

We present a new compactification $ M (d, n) $ of the moduli space of self-maps of $\mathbb
{CP}^ 1$ of degree $ d $ with $ n $ markings. It is constructed via GIT from the stable maps …

We give a new description of the data needed to specify a morphism from a scheme to a
toric Deligne-Mumford stack. The description is given in terms of a collection of line bundles …

arXiv:1404.3504v1 [math.AG] 14 Apr 2014 Page 1 INSTANTONS AND FRAMED SHEAVES ON
KAHLER DELIGNE-MUMFORD STACKS PHILIPPE EYSSIDIEUX, FRANCESCO SALA Abstract …

We show that every n–connective quasi-coherent obstruction theory on a Deligne–Mumford
stack comes from the structure of a connective spectral Deligne–Mumford stack on the …