Results 1 to 10 of about 6,594 (92)

D-branes, B fields, and Ext groups [PDF]

, 2003
In this paper we extend previous work on calculating massless boundary Ramond sector spectra of open strings to include cases with nonzero flat B fields.
Caldararu, A., Katz, S., Sharpe, E.
core   +3 more sources

A Homology Theory for Etale Groupoids [PDF]

, 1998
Etale groupoids arise naturally as models for leaf spaces of foliations, for orbifolds, and for orbit spaces of discrete group actions. In this paper we introduce a sheaf homology theory for etale groupoids.
Crainic, Marius, Moerdijk, Ieke
core   +4 more sources

D-branes, orbifolds, and Ext groups [PDF]

, 2002
In this note we extend previous work on massless Ramond spectra of open strings connecting D-branes wrapped on complex manifolds, to consider D-branes wrapped on smooth complex orbifolds.
Abouelsaood, Abramovich, Adams, Aspinwall, Aspinwall, Berkooz, Bridgeland, Crainic, Deligne, Douglas, Douglas, Douglas, Eric Sharpe, Freed, Gomez, Gomez, Grothendieck, Harvey, Katz, Katz, Kronheimer, Laumon, Martinec, Nakajima, Reid, Sharpe, Sharpe, Sharpe, Sharpe, Sharpe, Sheldon Katz, Tony Pantev, Vistoli, Witten   +33 more
core   +4 more sources

Irregular holonomic kernels and Laplace transform [PDF]

, 2014
Given a (not necessarily regular) holonomic D-module defined on the product of two complex manifolds, we prove that the associated correspondence commutes (in some sense) with the De Rham functor.
Kashiwara, Masaki, Schapira, Pierre
core   +2 more sources

Projectivity and Birational Geometry of Bridgeland moduli spaces [PDF]

, 2012
We construct a family of nef divisor classes on every moduli space of stable complexes in the sense of Bridgeland. This divisor class varies naturally with the Bridgeland stability condition.
Bayer, Arend, Macri, Emanuele
core   +5 more sources

Microlocal sheaves and quiver varieties [PDF]

, 2015
We relate Nakajima Quiver Varieties (or, rather, their multiplicative version) with moduli spaces of perverse sheaves. More precisely, we consider a generalization of the concept of perverse sheaves: microlocal sheaves on a nodal curve X.
Bezrukavnikov, Roman, Kapranov, Mikhail
core   +3 more sources

The Decomposition Theorem and the topology of algebraic maps

, 2009
We give a motivated introduction to the theory of perverse sheaves, culminating in the Decomposition Theorem of Beilinson, Bernstein, Deligne and Gabber. A goal of this survey is to show how the theory develops naturally from classical constructions used
de Cataldo, Mark Andrea, Migliorini, Luca   +1 more
core   +1 more source

A Formula for the Geometric Jacquet Functor and its Character Sheaf Analogue [PDF]

, 2017
Let (G,K) be a symmetric pair over the complex numbers, and let X=K\G be the corresponding symmetric space. In this paper we study a nearby cycles functor associated to a degeneration of X to MN\G, which we call the "wonderful degeneration". We show that
Chen, Tsao-Hsien, Din, Alexander Yom
core   +2 more sources

Moduli of sheaves: a modern primer

, 2017
We give a modern introduction to the moduli of sheaves. After reviewing the classical theory, we give a catalogue of results from the last decade. We then consider a more "symmetric" formulation of the theory by working with gerbes from the start.Comment:
Lieblich, Max
core   +1 more source

Moduli spaces of sheaves on K3 surfaces [PDF]

, 2016
In this survey article we describe moduli spaces of simple, stable, and semistable sheaves on K3 surfaces, following the work of Mukai, O'Grady, Huybrechts, Yoshioka, and others.
Sawon, Justin
core   +3 more sources