有向对偶的上同调与变形

IF 0.5 4区数学 Journal of Homotopy and Related Structures Pub Date : 2020-09-16 DOI:10.1007/s40062-020-00265-1

Ali N. A. Koam, Ripan Saha

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引用次数: 0

摘要

引入了有向对偶的概念，将标准链配合物计算群上同调和结合对偶上同调相结合，建立了有向对偶的上同调理论。我们还引入了有向对角的形式化变形理论，并证明了有向对角的上同调控制着这种变形。

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Cohomology and deformations of oriented dialgebras

We introduce a notion of oriented dialgebra and develop a cohomology theory for oriented dialgebras by mixing the standard chain complexes computing group cohomology and associative dialgebra cohomology. We also introduce a formal deformation theory for oriented dialgebras and show that cohomology of oriented dialgebras controls such deformations.

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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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