次表面Torelli群上的广义Chillingworth类

arXiv: Geometric Topology Pub Date : 2019-03-09 DOI:10.18910/79425

H. Eroğlu

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引用次数: 1

摘要

约翰逊同态象的缩形称为齐灵渥斯类。本文导出了Putman的地下Torelli群的Chillingworth类的一个组合描述。我们还证明了其象为地下Torelli群的Chillingworth类对偶的映射的自然性和唯一性。此外，我们将地下Torelli群的Chillingworth类与划分的Johnson同态联系起来。

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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Generalized Chillingworth Classes on Subsurface Torelli Groups

The contraction of the image of the Johnson homomorphism is called the Chillingworth class. In this paper, we derive a combinatorial description of the Chillingworth class for Putman's subsurface Torelli groups. We also prove the naturality and uniqueness properties of the map whose image is the dual of the Chillingworth classes of the subsurface Torelli groups. Moreover, we relate the Chillingworth class of the subsurface Torelli group to the partitioned Johnson homomorphism.

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arXiv: Geometric Topology

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