Cosimplicial structure on pointed multiplicative operads

IF 0.5 4区数学 Q2 MATHEMATICS

Journal of Homotopy and Related Structures Pub Date : 2025-06-17 DOI:10.1007/s40062-025-00372-x

V. Jacky III Batkam Mbatchou, Calvin Tcheka

引用次数: 0

Abstract

Motivated by the work of Gerstenhaber-Voronov and that of Malvenuto-Reuternauer, we define on pointed multiplicative operads in the category of vector spaces over an arbitrary ground field \(\mathbb {K}\), a cosimplicial vector space structure. This permits us to construct on such operads some algebraic structures such as the homotopy G-algebra and the bicomplex algebra structures. Moreover we illustrate our constructions through some examples and explain or extend some well-known results.

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点乘法操作数上的共简结构

在Gerstenhaber-Voronov和Malvenuto-Reuternauer工作的启发下，我们定义了任意地面场\(\mathbb {K}\)上向量空间范畴上的点乘法运算，一个协简向量空间结构。这允许我们在这样的操作上构造一些代数结构，如同伦g代数和双复代数结构。此外，我们还通过一些例子来说明我们的结构，并解释或推广一些众所周知的结果。

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

Journal of Homotopy and Related Structures MATHEMATICS-

CiteScore

1.20

自引率

0.00%

发文量

审稿时长

>12 weeks

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.