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arXiv · 1903.08423

On the KO-groups of toric manifolds

Li Cai·Suyoung Choi·Hanchul Park
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Abstract

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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Li Cai, Suyoung Choi, Hanchul Park. 2019-03-20. On the KO-groups of toric manifolds. https://doi.org/10.2140/agt.2020.20.2589

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