Closed aspherical manifolds with center

Sylvain Cappell; Shmuel Weinberger; Min Yan

doi:10.1112/jtopol/jtt023

Closed aspherical manifolds with center

Sylvain Cappell, Shmuel Weinberger, Min Yan

Mathematics

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

Abstract

We show that in all dimensions greater than 7 there are closed aspherical manifolds whose fundamental groups have nontrivial center but do not possess any topological circle actions. This disproves a conjectured converse (proposed by Conner and Raymond) to a classical theorem of Borel

Original language	English (US)
Article number	jtt023
Pages (from-to)	1009-1018
Number of pages	10
Journal	Journal of Topology
Volume	6
Issue number	4
DOIs	https://doi.org/10.1112/jtopol/jtt023
State	Published - Dec 2013

ASJC Scopus subject areas

Geometry and Topology

Access to Document

10.1112/jtopol/jtt023

Cite this

@article{3c19b5749b4248dc9c7fc27ecc71d30c,

title = "Closed aspherical manifolds with center",

abstract = "We show that in all dimensions greater than 7 there are closed aspherical manifolds whose fundamental groups have nontrivial center but do not possess any topological circle actions. This disproves a conjectured converse (proposed by Conner and Raymond) to a classical theorem of Borel",

author = "Sylvain Cappell and Shmuel Weinberger and Min Yan",

year = "2013",

month = dec,

doi = "10.1112/jtopol/jtt023",

language = "English (US)",

volume = "6",

pages = "1009--1018",

journal = "Journal of Topology",

issn = "1753-8416",

publisher = "John Wiley and Sons Ltd",

number = "4",

}

TY - JOUR

T1 - Closed aspherical manifolds with center

AU - Cappell, Sylvain

AU - Weinberger, Shmuel

AU - Yan, Min

PY - 2013/12

Y1 - 2013/12

N2 - We show that in all dimensions greater than 7 there are closed aspherical manifolds whose fundamental groups have nontrivial center but do not possess any topological circle actions. This disproves a conjectured converse (proposed by Conner and Raymond) to a classical theorem of Borel

AB - We show that in all dimensions greater than 7 there are closed aspherical manifolds whose fundamental groups have nontrivial center but do not possess any topological circle actions. This disproves a conjectured converse (proposed by Conner and Raymond) to a classical theorem of Borel

UR - http://www.scopus.com/inward/record.url?scp=84888880075&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84888880075&partnerID=8YFLogxK

U2 - 10.1112/jtopol/jtt023

DO - 10.1112/jtopol/jtt023

M3 - Article

AN - SCOPUS:84888880075

SN - 1753-8416

VL - 6

SP - 1009

EP - 1018

JO - Journal of Topology

JF - Journal of Topology

IS - 4

M1 - jtt023

ER -

Closed aspherical manifolds with center

Abstract

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this