Sheaf theory for stacks in manifolds and twisted cohomology for S1-gerbes

被引：7
|
作者：
Bunke, Ulrich [1 ]
Schick, Thomas [2 ]
Spitzweck, Markus [2 ]
机构：
[1] Univ Regensburg, NWFI Math, D-93040 Regensburg, Germany
[2] Univ Gottingen, Inst Math, D-37073 Gottingen, Germany
来源：
ALGEBRAIC AND GEOMETRIC TOPOLOGY | 2007年 / 7卷
关键词：
D O I：
10.2140/agt.2007.7.1007
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper we give a sheaf theory interpretation of the twisted cohomology of manifolds. To this end we develop a sheaf theory on smooth stacks. The derived push-forward of the constant sheaf with value R along the structure map of a U(1) gerbe over a smooth manifold X is an object of the derived category of sheaves on X. Our main result shows that it is isomorphic in this derived category to a sheaf of twisted de Rham complexes.
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页码：1007 / 1062
页数：56
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