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On slope genera of
knotted tori in 4-space
Yi Liu, Yi Ni, Hongbin Sun and Shicheng Wang |
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Vol. 261 (2013), No. 1, 117–144
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Abstract |
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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. |
Keywords
knotted surface, genus, extendable subgroup
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Mathematical Subject Classification 2010
Primary: 57Q45
Secondary: 20F12
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Milestones
Received: 7 December 2011
Revised: 9 September 2012
Accepted: 17 September 2012
Published: 28 February 2013
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Authors |
| Yi Liu | |
| Department of Mathematics California Institute of Technology 374 Sloan Hall, 1200 East California Blvd Pasadena, CA 91125 United States |
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| Yi Ni | |
| Department of Mathematics California Institute of Technology 251 Sloan Hall, 1200 East California Blvd Pasadena, CA 91125 United States |
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| Hongbin Sun | |
| Department of Mathematics Princeton University Fine Hall, Room 304 Washington Road Princeton, NJ 08544 United States |
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| Shicheng Wang | |
| School of Mathematical
Sciences Peking University Beijing, 100871 China |
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