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.

引用

页码：187 / 199

页数：13

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