On simplicial resolutions of framed links | Zendy

Fengchun Lei | Zendy; Fengling Li | Zendy; Jie Wu | Zendy

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On simplicial resolutions of framed links

Author(s) -

Fengchun Lei,

Fengling Li,

Jie Wu

Publication year - 2013

Publication title -

transactions of the american mathematical society

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 1.798

H-Index - 100

eISSN - 1088-6850

pISSN - 0002-9947

DOI - 10.1090/s0002-9947-2013-05957-0

Subject(s) - mathematics , simplicial complex , h vector , abstract simplicial complex , type (biology) , homotopy , simplicial approximation theorem , simplicial homology , simplicial set , combinatorics , pure mathematics , homotopy category , biology , ecology

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.

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