Morse Functions and Real Lagrangian Thimbles on Adjoint Orbits

IF 0.5 3区数学 Q3 MATHEMATICS

Journal of Topology and Analysis Pub Date : 2023-11-10 DOI:10.1142/s1793525323500395

Elizabeth Gasparim, Luiz A. B. San Martin

引用次数: 1

Abstract

We compare Lagrangian thimbles for the potential of a Landau-Ginzburg model to the Morse theory of its real part. We explore Landau-Ginzburg models defined using Lie theory, constructing their real Lagrangian thimbles explicitly and comparing them to the stable and unstable manifolds of the real gradient flow.

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伴随轨道上的莫尔斯函数和实拉格朗日顶针

我们比较了朗道-金兹堡模型势能的拉格朗日顶针和其实部的莫尔斯理论。我们研究了用李理论定义的朗道-金兹堡模型，明确地构造了它们的真实拉格朗日顶针，并将它们与真实梯度流的稳定流形和不稳定流形进行了比较。

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 Topology and Analysis MATHEMATICS-

CiteScore

1.50

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： This journal is devoted to topology and analysis, broadly defined to include, for instance, differential geometry, geometric topology, geometric analysis, geometric group theory, index theory, noncommutative geometry, and aspects of probability on discrete structures, and geometry of Banach spaces. We welcome all excellent papers that have a geometric and/or analytic flavor that fosters the interactions between these fields. Papers published in this journal should break new ground or represent definitive progress on problems of current interest. On rare occasion, we will also accept survey papers.