On simplicial resolutions of framed links
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- by Fengchun Lei, Fengling Li and Jie Wu PDF
- Trans. Amer. Math. Soc. 366 (2014), 3075-3093 Request permission
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.References
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Additional Information
- Fengchun Lei
- Affiliation: School of Mathematical Sciences, Dalian University of Technology, Dalian 116024, People’s Republic of China
- Email: fclei@dlut.edu.cn
- Fengling Li
- Affiliation: School of Mathematical Sciences, Dalian University of Technology, Dalian 116024, People’s Republic of China
- MR Author ID: 893090
- Email: dutlfl@163.com
- Jie Wu
- Affiliation: Department of Mathematics, National University of Singapore, Block S17, 10 Lower Kent Ridge Road, Singapore 119076
- Email: matwuj@nus.edu.sg
- Received by editor(s): May 14, 2012
- Received by editor(s) in revised form: September 9, 2012
- Published electronically: December 3, 2013
- Additional Notes: The first author was partially supported by a key grant (No.10931005) of NSFC and a grant (No.11329101) of NSFC
The second author was supported by two grants (No.11101058) and (No.11329101) of NSFC and a grant (No.2011M500049) of China Postdoctoral Science Foundation
The third author was partially supported by the AcRF Tier 2 (WB NO. R-146-000-143-112) of MOE of Singapore and a grant (No. 11329101) of NSFC - © Copyright 2013
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Trans. Amer. Math. Soc. 366 (2014), 3075-3093
- MSC (2010): Primary 57M25, 55P35; Secondary 55Q40, 55U10, 57M07
- DOI: https://doi.org/10.1090/S0002-9947-2013-05957-0
- MathSciNet review: 3180740