Volume 20, issue 5 (2020)

Download this article
Download this article For screen
For printing
Recent Issues

Volume 20
Issue 5, 2145–2685
Issue 4, 1601–2143
Issue 3, 1073–1600
Issue 2, 531–1072
Issue 1, 1–529

Volume 19, 7 issues

Volume 18, 7 issues

Volume 17, 6 issues

Volume 16, 6 issues

Volume 15, 6 issues

Volume 14, 6 issues

Volume 13, 6 issues

Volume 12, 4 issues

Volume 11, 5 issues

Volume 10, 4 issues

Volume 9, 4 issues

Volume 8, 4 issues

Volume 7, 4 issues

Volume 6, 5 issues

Volume 5, 4 issues

Volume 4, 2 issues

Volume 3, 2 issues

Volume 2, 2 issues

Volume 1, 2 issues

The Journal
About the Journal
Editorial Board
Editorial Interests
Subscriptions
 
Submission Guidelines
Submission Page
Policies for Authors
Ethics Statement
 
ISSN (electronic): 1472-2739
ISSN (print): 1472-2747
Author Index
To Appear
 
Other MSP Journals
On the $KO$–groups of toric manifolds

Li Cai, Suyoung Choi and Hanchul Park

Algebraic & Geometric Topology 20 (2020) 2589–2607
Abstract

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 M, the fixed points under the canonical conjugation on M. Following the work of Bahri and Bendersky (2000), 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 their mod 2 cohomology groups as 𝒜(1)–modules.

Keywords
KO–theory, toric manifolds, quasitoric manifolds
Mathematical Subject Classification 2010
Primary: 14M25, 19E20, 55N15
Secondary: 57N65
References
Publication
Received: 10 April 2019
Revised: 13 June 2019
Accepted: 27 July 2019
Published: 4 November 2020
Authors
Li Cai
Department of Mathematical Sciences
Xi’an Jiaotong-Liverpool University
Suzhou
China
Suyoung Choi
Department of Mathematics
Ajou University
Suwon
South Korea
Hanchul Park
Department of Mathematics Education
Jeju National University
Jeju-si
South Korea