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Contents
1
Introduction
1.1
What's HAG ?
1.2
What's DAG ?
2
The model category of
D
-stacks
2.1
D
-Pre-stacks
2.2
D
-Stacks
2.3
Operations on
D
-stacks
3
First examples of
D
-stacks
3.1
Representables
3.2
Stacks vs.
D
-stacks
3.3
dg-Schemes
3.4
The
D
-stack of
G
-torsors
4
The geometry of
D
-stacks
4.1
Geometricity
4.2
Modules, linear
D
-stacks and
K
-theory
4.3
Tangent
D
-stacks
4.4
Smoothness
5
Further examples
5.1
Local systems on a topological space
5.2
Vector bundles on a projective variety
5.3
Algebras and
A
¥
-categorical structures
6
Final comments on deriving moduli functors
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