A Note on Real Line Bundles with Connection and Real Smooth Deligne Cohomology

被引：0
|
作者：
Flydal, Peter Marius [1 ]
Quick, Gereon [1 ]
Svanes, Eirik Eik [2 ]
机构：
[1] NTNU, Dept Math Sci, Trondheim, Norway
[2] Univ Stavanger, Dept Math & Phys, Stavanger, Norway
来源：
ACTA MATHEMATICA VIETNAMICA | 2024年 / 49卷 / 02期
关键词：
Deligne cohomology; Equivariant connection; Classification of vector bundles; GEOMETRY;
D O I：
10.1007/s40306-024-00538-4
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We define a Real version of smooth Deligne cohomology for manifolds with involution which interpolates between equivariant sheaf cohomology and smooth imaginary-valued forms. Our main result is a classification of Real line bundles with Real connection on manifolds with involution.
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页码：187 / 199
页数：13
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