Release Time:2019-03-09  Hits:

Indexed by: Journal Article

Date of Publication: 2014-06-01

Journal: TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY

Included Journals: SCIE

Volume: 366

Issue: 6

Page Number: 3075-3093

ISSN: 0002-9947

Key Words: Framed link; simplicial group; link group; naive cabling; loop space

Abstract: In this paper, we investigate the simplicial groups obtained from the link groups of naive cablings on any given framed link. Our main result states that the resulting simplicial groups have the homotopy type of the loop space of a wedge of 3-spheres. This gives simplicial group models for some loop spaces using link groups.