运算符、运算类和 Blob Complex

IF 0.6 4区数学 Q3 MATHEMATICS

Applied Categorical Structures Pub Date : 2024-02-08 DOI:10.1007/s10485-023-09759-4

Michael Batanin, Martin Markl

引用次数: 0

摘要

我们将证明，拓扑量子场论中出现的莫里森-沃克 blob 复合物是由场和局部关系组成的某个操作数的操作数条解析。作为副产品，我们将发展一元运算范畴理论，并研究在此背景下出现的一些新奇有趣的现象。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

Operads, Operadic Categories and the Blob Complex

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Operads, Operadic Categories and the Blob Complex

We will show that the Morrison–Walker blob complex appearing in Topological Quantum Field Theory is an operadic bar resolution of a certain operad composed of fields and local relations. As a by-product we develop the theory of unary operadic categories and study some novel and interesting phenomena arising in this context.

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来源期刊

Applied Categorical Structures 数学-数学

CiteScore

1.30

自引率

16.70%

发文量

审稿时长

>12 weeks

期刊介绍： Applied Categorical Structures focuses on applications of results, techniques and ideas from category theory to mathematics, physics and computer science. These include the study of topological and algebraic categories, representation theory, algebraic geometry, homological and homotopical algebra, derived and triangulated categories, categorification of (geometric) invariants, categorical investigations in mathematical physics, higher category theory and applications, categorical investigations in functional analysis, in continuous order theory and in theoretical computer science. In addition, the journal also follows the development of emerging fields in which the application of categorical methods proves to be relevant. Applied Categorical Structures publishes both carefully refereed research papers and survey papers. It promotes communication and increases the dissemination of new results and ideas among mathematicians and computer scientists who use categorical methods in their research.