紧李群扭曲k理论的一种新方法

Jonathan Rosenberg
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引用次数: 2

摘要

本文进一步探讨了先前由Hopkins, Moore, Maldacena-Moore-Seiberg, Braun, Douglas等人研究的紧单李群的扭曲k理论和k同调的计算,重点是2阶群。我们给出了一种新的基于Segal谱序列的计算方法,至少在许多关键情况下,我们认为这种方法比以前使用的方法要简单得多。澄清了说明,并修正了前一版本中的一个错误。参考资料也已更新。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
A new approach to twisted K–theory of compact Lie groups
This paper explores further the computation of the twisted K-theory and K-homology of compact simple Lie groups, previously studied by Hopkins, Moore, Maldacena-Moore-Seiberg, Braun, and Douglas, with a focus on groups of rank 2. We give a new method of computation based on the Segal spectral sequence which seems to us appreciably simpler than the methods used previously, at least in many key cases. The exposition has been clarified and one mistake in the previous version has been fixed. Also the references have been updated.
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