量子环同构与更大的伯恩赛德范畴

IF 1.1 3区数学 Q1 MATHEMATICS Mediterranean Journal of Mathematics Pub Date : 2024-07-01 DOI:10.1007/s00009-024-02693-2

Federico Cantero Morán, Sergio García-Rodrigo, Marithania Silvero

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引用次数: 0

摘要

作为霍瓦诺夫谱构造的一部分，劳森、利普希茨和萨卡尔为有限集和有限对应集的伯恩赛德范畴中的每个立方体分配了一个有限蜂窝谱。在本文中，我们将这一赋值扩展到无限集的伯恩赛德范畴中的立方体。这后来被应用到阿克梅切、克鲁什卡尔和威利斯关于有限循环群作用的量子环霍瓦诺夫谱的研究中：我们得到了无限循环群作用的量子环霍瓦诺夫谱。

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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Quantum Annular Homology and Bigger Burnside Categories

As part of their construction of the Khovanov spectrum, Lawson, Lipshitz and Sarkar assigned to each cube in the Burnside category of finite sets and finite correspondences, a finite cellular spectrum. In this paper, we extend this assignment to cubes in Burnside categories of infinite sets. This is later applied to the work of Akhmechet, Krushkal and Willis on the quantum annular Khovanov spectrum with an action of a finite cyclic group: we obtain a quantum annular Khovanov spectrum with an action of the infinite cyclic group.

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来源期刊

Mediterranean Journal of Mathematics 数学-数学

CiteScore

1.80

自引率

0.00%

发文量

261

审稿时长

6-12 weeks

期刊介绍： The Mediterranean Journal of Mathematics (MedJM) is a publication issued by the Department of Mathematics of the University of Bari. The new journal replaces the Conferenze del Seminario di Matematica dell’Università di Bari which has been in publication from 1954 until 2003. The Mediterranean Journal of Mathematics aims to publish original and high-quality peer-reviewed papers containing significant results across all fields of mathematics. The submitted papers should be of medium length (not to exceed 20 printed pages), well-written and appealing to a broad mathematical audience. In particular, the Mediterranean Journal of Mathematics intends to offer mathematicians from the Mediterranean countries a particular opportunity to circulate the results of their researches in a common journal. Through such a new cultural and scientific stimulus the journal aims to contribute to further integration amongst Mediterranean universities, though it is open to contribution from mathematicians across the world.