关于托雷利群的上同调

IF 2.8 1区数学 Q1 MATHEMATICS

Forum of Mathematics Pi Pub Date : 2019-01-07 DOI:10.1017/fmp.2020.5

A. Kupers, O. Randal-Williams

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引用次数: 15

摘要

我们完全描述了流形的Torelli群的有理上同调的代数部分$\#^{g}S^{n} 相对于稳定范围内的圆盘，对于$2n\geqslant 6$，乘以S^｛n｝$。我们的计算也适用于$2n=2$，假设这些Torelli群的有理上同调群在稳定范围内是有限维的。

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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ON THE COHOMOLOGY OF TORELLI GROUPS

We completely describe the algebraic part of the rational cohomology of the Torelli groups of the manifolds $\#^{g}S^{n}\times S^{n}$ relative to a disc in a stable range, for $2n\geqslant 6$. Our calculation is also valid for $2n=2$ assuming that the rational cohomology groups of these Torelli groups are finite-dimensional in a stable range.

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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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