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2011 Surface links which are coverings over the standard torus
Inasa Nakamura
Algebr. Geom. Topol. 11(3): 1497-1540 (2011). DOI: 10.2140/agt.2011.11.1497

Abstract

We introduce a new construction of a surface link in 4–space. We construct a surface link as a branched covering over the standard torus, which we call a torus-covering link. We show that a certain torus-covering T2–link is equivalent to the split union of spun T2–links and turned spun T2–links. We show that a certain torus-covering T2–link has a nonclassical link group. We give a certain class of ribbon torus-covering T2–links. We present the quandle cocycle invariant of a certain torus-covering T2–link obtained from a classical braid, by using the quandle cocycle invariants of the closure of the braid.

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Inasa Nakamura. "Surface links which are coverings over the standard torus." Algebr. Geom. Topol. 11 (3) 1497 - 1540, 2011. https://doi.org/10.2140/agt.2011.11.1497

Information

Received: 25 June 2009; Revised: 1 March 2011; Accepted: 2 March 2011; Published: 2011
First available in Project Euclid: 19 December 2017

zbMATH: 1230.57022
MathSciNet: MR2821433
Digital Object Identifier: 10.2140/agt.2011.11.1497

Subjects:
Primary: 57Q45
Secondary: 57Q35

Rights: Copyright © 2011 Mathematical Sciences Publishers

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