Massey products in differential cohomology via stacks

IF 0.5 4区数学 Journal of Homotopy and Related Structures Pub Date : 2017-05-27 DOI:10.1007/s40062-017-0178-y

Daniel Grady, Hisham Sati

引用次数: 14

Abstract

We extend Massey products from cohomology to differential cohomology via stacks, organizing and generalizing existing constructions in Deligne cohomology. We study the properties and show how they are related to more classical Massey products in de Rham, singular, and Deligne cohomology. The setting and the algebraic machinery via stacks allow for computations and make the construction well-suited for applications. We illustrate with several examples from differential geometry and mathematical physics.

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通过叠的微分上同调中的Massey积

通过叠叠，组织和推广了Deligne上同调中已有的构造，将Massey积从上同调扩展到微分上同调。我们研究了这些性质，并展示了它们在de Rham、奇异和Deligne上同调中与更经典的Massey积的关系。通过堆栈的设置和代数机制允许计算，并使结构非常适合应用。我们用微分几何和数学物理中的几个例子来说明。

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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Journal of Homotopy and Related Structures Mathematics-Geometry and Topology

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期刊介绍： Journal of Homotopy and Related Structures (JHRS) is a fully refereed international journal dealing with homotopy and related structures of mathematical and physical sciences. Journal of Homotopy and Related Structures is intended to publish papers on Homotopy in the broad sense and its related areas like Homological and homotopical algebra, K-theory, topology of manifolds, geometric and categorical structures, homology theories, topological groups and algebras, stable homotopy theory, group actions, algebraic varieties, category theory, cobordism theory, controlled topology, noncommutative geometry, motivic cohomology, differential topology, algebraic geometry.

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