关于环面流形的ko -群

arXiv: Algebraic Topology Pub Date : 2019-03-20 DOI:10.2140/agt.2020.20.2589

L. Cai, Suyoung Choi, Hanchul Park

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引用次数: 0

摘要

本文考虑了一个环流形M的实拓扑k群，它与小覆盖MR的拓扑密切相关，即M上正则共轭下的不动点。根据Bahri和Bendersky[2]的工作，我们给出了环流形的ko -群的显式公式，然后根据[2]中所示的两个A(1)模对环流形的两个极端类进行了刻画。

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On the KO–groups of toric manifolds

In this paper we consider the real topological K-groups of a toric manifold M, which turns out to be closely related to the topology of the small cover MR, the fixed points under the canonical conjugation on M . Following the work of Bahri and Bendersky [2], we give an explicit formula for the KO-groups of toric manifolds, and then we characterize the two extreme classes of toric manifolds according to the two A(1) modules shown in [2].

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arXiv: Algebraic Topology

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