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On the $KO$–groups of
toric manifolds
Li Cai, Suyoung Choi and Hanchul Park |
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Algebraic & Geometric Topology 20 (2020) 2589–2607
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Abstract |
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We consider the real topological –groups of a toric manifold , which turns out to be closely related to the topology of the small cover , the fixed points under the canonical conjugation on . Following the work of Bahri and Bendersky (2000), we give an explicit formula for the –groups of toric manifolds, and then we characterize the two extreme classes of toric manifolds according to their mod cohomology groups as –modules. |
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Keywords
KO–theory, toric manifolds, quasitoric manifolds
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Mathematical Subject Classification 2010
Primary: 14M25, 19E20, 55N15
Secondary: 57N65
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References |
Publication
Received: 10 April 2019
Revised: 13 June 2019
Accepted: 27 July 2019
Published: 4 November 2020
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Authors |
| Li Cai | |
| Department of Mathematical
Sciences Xi’an Jiaotong-Liverpool University Suzhou China |
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| Suyoung Choi | |
| Department of Mathematics Ajou University Suwon South Korea |
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| Hanchul Park | |
| Department of Mathematics
Education Jeju National University Jeju-si South Korea |
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