关于Torelli Lie代数

IF 2.8 1区数学 Q1 MATHEMATICS

Forum of Mathematics Pi Pub Date : 2021-06-30 DOI:10.1017/fmp.2023.10

A. Kupers, O. Randal-Williams

引用次数: 3

摘要

摘要我们证明了与亏格曲面的Torelli群相关的Malcev李代数的两个定理：稳定地，它是Koszul，Johnson同态的核仅由平凡$\mathrm组成{Sp}_｛2g｝（\mathbb｛Z｝）$表示位于中心。

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On the Torelli Lie algebra

Abstract We prove two theorems about the Malcev Lie algebra associated to the Torelli group of a surface of genus g: Stably, it is Koszul and the kernel of the Johnson homomorphism consists only of trivial $\mathrm {Sp}_{2g}(\mathbb {Z})$ -representations lying in the centre.

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来源期刊

Forum of Mathematics Pi Mathematics-Statistics and Probability

CiteScore

3.50

自引率

0.00%

发文量

审稿时长

19 weeks

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