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 –link is equivalent to the split union of spun –links and turned spun –links. We show that a certain torus-covering –link has a nonclassical link group. We give a certain class of ribbon torus-covering –links. We present the quandle cocycle invariant of a certain torus-covering –link obtained from a classical braid, by using the quandle cocycle invariants of the closure of the braid.
Citation
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
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