Holomorphic Lagrangian branes correspond to perverse sheaves
نویسندگان
چکیده
منابع مشابه
Branes in hearts with perverse sheaves
Various topological properties of D-branes in the type–IIA theory are captured by the topologically twisted B-model, treating D-branes as objects in the bounded derived category of coherent sheaves on the compact part of the target space. The set of basic D-branes wrapped on the homology cycles of the compact space are taken to reside in the heart of t-structures of the derived category of cohe...
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We give a complete quiver description of the category of perverse sheaves on Hermitian symmetric spaces in types A and D, constructible with respect to the Schubert stratification. The calculation is microlocal, and uses the action of the Borel group to study the geometry of the conormal variety Λ.
متن کاملQuick and dirty introduction to perverse sheaves
In this talk, X will be a variety (separated scheme of finite type) over C, we will most often identify with its set of complex points and we will use the usual topology on X(C). Note however that you can define étale torsion or `-adic perverse sheaves on varieties over any field of characteristic 6= ` (see the book [1] of Beilinson-Bernstein-Deligne for this and most of the results of this not...
متن کاملAn Introduction to Perverse Sheaves and Character Sheaves
After a brief review of derived categories, triangulated categories and t-structures, we shall consider the bounded derived category D(X,R) of the category of étale sheaves of R-modules on X (a k-scheme of finite type), where R is an l-torsion ring with l a prime number distinct from the characteristic of the field k. We shall construct a t-structure on the (triangulated) full subcategory D c(X...
متن کاملDecomposition Numbers for Perverse Sheaves
The purpose of this article is to set foundations for decomposition numbers of perverse sheaves, to give some methods to calculate them in simple cases, and to compute them concretely in two situations: for a simple (Kleinian) surface singularity, and for the closure of the minimal non-trivial orbit in a simple Lie algebra. This work has applications to modular representation theory, for Weyl g...
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ژورنال
عنوان ژورنال: Geometry & Topology
سال: 2015
ISSN: 1364-0380,1465-3060
DOI: 10.2140/gt.2015.19.1685