The homotopy class of twisted $L_\infty$-morphisms

IF 0.8 4区数学 Q2 MATHEMATICS Homology Homotopy and Applications Pub Date : 2024-05-01 DOI:10.4310/hha.2024.v26.n1.a14

Andreas Kraft, Jonas Schnitzer

引用次数: 0

Abstract

The global formality of Dolgushev depends on the choice of a torsion-free covariant derivative. We prove that the globalized formalities with respect to two different covariant derivatives are homotopic. More explicitly, we derive the statement by proving a more general homotopy equivalence between $L_\infty$-morphisms that are twisted with gauge equivalent Maurer–Cartan elements.

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扭曲$L_\infty$变形的同调类

多尔古雪夫的全局形式取决于无扭协变导数的选择。我们证明，关于两个不同协变导数的全局形式是同向的。更明确地说，我们通过证明与轨距等价的毛勒-卡尔坦元素扭转的$L_\infty$-态之间更一般的同调等价性来得出这一声明。

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

Homology Homotopy and Applications 数学-数学

CiteScore

1.10

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： Homology, Homotopy and Applications is a refereed journal which publishes high-quality papers in the general area of homotopy theory and algebraic topology, as well as applications of the ideas and results in this area. This means applications in the broadest possible sense, i.e. applications to other parts of mathematics such as number theory and algebraic geometry, as well as to areas outside of mathematics, such as computer science, physics, and statistics. Homotopy theory is also intended to be interpreted broadly, including algebraic K-theory, model categories, homotopy theory of varieties, etc. We particularly encourage innovative papers which point the way toward new applications of the subject.

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