丰富的科斯祖尔对偶性

IF 0.7 4区数学 Q2 MATHEMATICS

Journal of Homotopy and Related Structures Pub Date : 2024-07-03 DOI:10.1007/s40062-024-00349-2

Björn Eurenius

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引用次数: 0

摘要

我们证明了非京元同能 dg-coalgebras 范畴和非京元 dg-algebras 范畴分别带有与它们的封闭非京元单元范畴和封闭非京元模块范畴结构兼容的模型结构。此外，我们还证明了这两个范畴之间的奎伦等价性扩展到了非空模范畴奎伦等价性，即提供了科斯祖尔对偶性的丰富形式。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

Enriched Koszul duality

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Enriched Koszul duality

We show that the category of non-counital conilpotent dg-coalgebras and the category of non-unital dg-algebras carry model structures compatible with their closed non-unital monoidal and closed non-unital module category structures respectively. Furthermore, we show that the Quillen equivalence between these two categories extends to a non-unital module category Quillen equivalence, i.e. providing an enriched form of Koszul duality.

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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.