On the KO –groups of toric manifolds

Li Cai; Suyoung Choi; Hanchul Park

doi:10.2140/agt.2020.20.2589

On the KO –groups of toric manifolds

Li Cai
, Suyoung Choi
, Hanchul Park

Department of Pure Mathematics

Ajou University
Jeju National University

Research output: Contribution to journal › Article › peer-review

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_R, 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.

Original language	English
Pages (from-to)	2589-2607
Number of pages	19
Journal	Algebraic and Geometric Topology
Volume	20
Issue number	5
DOIs	https://doi.org/10.2140/agt.2020.20.2589
Publication status	Published - 2020

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10.2140/agt.2020.20.2589

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title = "On the KO –groups of toric manifolds",

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 MR, 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.",

author = "Li Cai and Suyoung Choi and Hanchul Park",

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AU - Park, Hanchul

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AB - 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 (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.

UR - https://www.scopus.com/pages/publications/85096861198

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DO - 10.2140/agt.2020.20.2589

M3 - Article

AN - SCOPUS:85096861198

SN - 1472-2747

VL - 20

SP - 2589

EP - 2607

JO - Algebraic and Geometric Topology

JF - Algebraic and Geometric Topology

IS - 5

ER -

On the KO –groups of toric manifolds

Abstract

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