J. Elisenda Grigsby and Stephan M. Wehrli
Abstract: Let n be a positive integer. We provide short proofs of the following related facts: 1) If the closure of an n-strand braid is the n-component unlink, then the braid is trivial, and 2) For every positive integer m less than or equal to n+1 and congruent to n+1 mod 2, there is a unique m-component fibered link of Euler characteristic 1-n in the connect sum of n copies of S^1 x S^2, up to diffeomorphism.
ArXiv: 1309.0759