Published January 2013
| Published
Journal Article
Open
On slope genera of knotted tori in 4-space
- Creators
- Liu, Yi
- Ni, Yi
- Sun, Hongbin
- Wang, Shicheng
Chicago
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Abstract
We investigate genera of slopes of a knotted torus in the 4-sphere analogous to the genus of a classical knot. We compare various formulations of this notion, and use this notion to study the extendable subgroup of the mapping class group of a knotted torus.
Additional Information
© 2013 Pacific Journal of Mathematics. Received: 7 December 2011; Revised: 9 September 2012; Accepted: 17 September 2012; Published: 28 February 2013. The second author was partially supported by an AIM Five-Year Fellowship and NSF grant numbers DMS-1021956 and DMS-1103976. The fourth author was partially supported by grant No.10631060 of the National Natural Science Foundation of China. The authors are grateful to Seiichi Kamada for clarifying some points during the development of the paper and for very helpful guidance to the literature. The authors also thank David Gabai, Cameron Gordon, and Charles Livingston for suggestions and comments, and thank the referee for encouraging us to improve the structure of this paper.Attached Files
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Additional details
- Eprint ID
- 38418
- Resolver ID
- CaltechAUTHORS:20130510-101747198
- AIM Five-Year Fellowship
- NSF
- DMS-1021956
- NSF
- DMS-1103976
- National Natural Science Foundation of China
- 10631060
- Created
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2013-05-13Created from EPrint's datestamp field
- Updated
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2021-11-09Created from EPrint's last_modified field