The KO*-rings of BTm, the Davis-Januszkiewicz spaces and certain toric manifolds

被引：2

作者：

Astey, L. ^{[1
]}

Bahri, A. ^{[2
]}

Bendersky, M. ^{[3
]}

Cohen, F. R. ^{[4
]}

Davis, D. M. ^{[5
]}

Gitler, S. ^{[1
]}

Mahowald, M. ^{[6
]}

Ray, N. ^{[7
]}

Wood, R. ^{[7
]}

机构：

[1] CINVESTAV, Dept Math, Mexico City 14000, DF, Mexico

[2] Rider Univ, Dept Math, Lawrenceville, NJ 08648 USA

[3] CUNY, Dept Math, New York, NY 10065 USA

[4] Univ Rochester, Dept Math, Rochester, NY 14625 USA

[5] Lehigh Univ, Dept Math, Bethlehem, PA 18015 USA

[6] Northwestern Univ, Dept Math, Evanston, IL 60208 USA

[7] Univ Manchester, Sch Math, Manchester M13 9PL, Lancs, England

来源：

JOURNAL OF PURE AND APPLIED ALGEBRA | 2014年 / 218卷 / 02期

关键词：

MOMENT-ANGLE COMPLEXES; DECOMPOSITIONS;

D O I：

10.1016/j.jpaa.2013.06.001

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper contains an explicit computation of the KO*-ring structure of an m-fold product of CP infinity, the Davis-Januszkiewicz spaces and of toric manifolds which have trivial Sq(2)-homology. A key ingredient is the stable splitting of the Davis-Januszkiewicz spaces given by Bahri et al. (2009, 2010) [6,7]. (C) 2013 Elsevier B.V. All rights reserved.

引用

页码：303 / 320

页数：18

共 5 条

[1] GENERALIZED DAVIS-JANUSZKIEWICZ SPACES, MULTICOMPLEXES AND MONOMIAL RINGS
Trevisan, Alvise J.
HOMOLOGY HOMOTOPY AND APPLICATIONS, 2011, 13 (01) : 205 - 221
[2] HOMOTOPY GERSTENHABER FORMALITY OF DAVIS-JANUSZKIEWICZ SPACES
Franz, Matthias
HOMOLOGY HOMOTOPY AND APPLICATIONS, 2021, 23 (02) : 325 - 347
[3] VECTOR BUNDLES OVER DAVIS-JANUSZKIEWICZ SPACES WITH PRESCRIBED CHARACTERISTIC CLASSES
Notbohm, Dietrich
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 2012, 364 (06) : 3217 - 3239
[4] Colorings of simplicial complexes and vector bundles over Davis-Januszkiewicz spaces
Notbohm, Dietrich
MATHEMATISCHE ZEITSCHRIFT, 2010, 266 (02) : 399 - 405
[5] The quasi KO-types of certain toric manifolds
Nishimura, Yasuzo
TORIC TOPOLOGY, 2008, 460 : 287 - 292

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