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Applications of Homological Algebra Introduction to Perverse Sheaves Spring 2007 P. Achar
 

Summary: Applications of Homological Algebra Introduction to Perverse Sheaves
Spring 2007 P. Achar
Gluing t-Structures; Perverse Sheaves
March 29, 2007
Notation 1. Henceforth, the derived category of sheaves on a topological space X will be denoted D(X)
instead of D(ShX). Its various bounded versions will similarly be denoted D+
(X), D-
(X), and Db
(X).
The standard t-structure on Db
(X) will be denoted (std
Db
(X)0
, std
Db
(X)0
).
Let X be a topological space; let U X be an open set, and Z = X U its complement. Let j : U X
and i : Z X be the inclusion maps. Consider the bounded derived categories Db
(U), Db

  

Source: Achar, Pramod - Department of Mathematics, Louisiana State University

 

Collections: Mathematics