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

IF 0.3 Q4 MATHEMATICS

Acta Mathematica Vietnamica Pub Date : 2024-06-05 DOI:10.1007/s40306-024-00538-4

Peter Marius Flydal, Gereon Quick, Eirik Eik Svanes

引用次数: 0

Abstract

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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关于带连接的实线束和实光滑德利涅同调的说明

我们为具有内卷性的流形定义了光滑德莱尼同调的实数版本，它介于等变剪子同调与光滑虚值形式之间。我们的主要结果是对有内卷流形上有实数连接的实数线束的分类。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Acta Mathematica Vietnamica MATHEMATICS-

CiteScore

0.90

自引率

0.00%

发文量

期刊介绍： Acta Mathematica Vietnamica is a peer-reviewed mathematical journal. The journal publishes original papers of high quality in all branches of Mathematics with strong focus on Algebraic Geometry and Commutative Algebra, Algebraic Topology, Complex Analysis, Dynamical Systems, Optimization and Partial Differential Equations.