English

On the KO-groups of toric manifolds

Algebraic Topology 2020-11-11 v2

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].

Keywords

Cite

@article{arxiv.1903.08423,
  title  = {On the KO-groups of toric manifolds},
  author = {Li Cai and Suyoung Choi and Hanchul Park},
  journal= {arXiv preprint arXiv:1903.08423},
  year   = {2020}
}

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17 pages