SCL
SCL
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SCL
DOI：
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发表时间：
2020
期刊：
影响因子：
--
通讯作者：
Danny Calegari
中科院分区：
文献类型：
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作者：
Danny Calegari
本书全面介绍了稳定换向子长度理论，这是定量拓扑的一个重要子领域，与2流形、动力学、几何群论、有界上同调、辛拓扑和许多其他主题有实质性的联系。我们尽可能使用建设性的方法，并专注于基本和明确的例子。我们给出了该理论的几个基本结果，包括巴瓦德对偶定理、谱间隙定理、合理性定理和中心极限定理。任何对这些学科感兴趣的数学家都可以访问这些内容，并且提供了最少数量的先决条件，但要考虑到数学的许多领域的应用。
This book is a comprehensive introduction to the theory of stable commutator length, an important subfield of quantitative topology, with substantial connections to 2-manifolds, dynamics, geometric group theory, bounded cohomology, symplectic topology, and many other subjects. We use constructive methods whenever possible, and focus on fundamental and explicit examples. We give a self-contained presentation of several foundational results in the theory, including Bavard’s Duality Theorem, the Spectral Gap Theorem, the Rationality Theorem, and the Central Limit Theorem. The contents should be accessible to any mathematician interested in these subjects, and are presented with a minimal number of prerequisites, but with a view to applications in many areas of mathematics.
DOI：
10.1073/pnas.95.7.4002
发表时间：
1998-03-31
影响因子：
11.1
作者：
Coppola, DM;Purves, HR;Purves, D
通讯作者：
Purves, D