1. CMB 2003 (vol 46 pp. 356)
|Branched Covers of Tangles in Three-balls |
We give an algorithm for a surgery description of a $p$-fold cyclic branched cover of $B^3$ branched along a tangle. We generalize constructions of Montesinos and Akbulut-Kirby.
Keywords:tangle, branched cover, surgery, Heegaard decomposition
2. CMB 1997 (vol 40 pp. 309)
|On the homology of finite abelian coverings of links |
Let $A$ be a finite abelian group and $M$ be a branched cover of an homology $3$-sphere, branched over a link $L$, with covering group $A$. We show that $H_1(M;Z[1/|A|])$ is determined as a $Z[1/|A|][A]$-module by the Alexander ideals of $L$ and certain ideal class invariants.
Keywords:Alexander ideal, branched covering, Dedekind domain,, knot, link.