2019/11/13 by He, Dongtai, Hubbard, Diana, Truong, Linh
#57M25 #57M27 #57R17 #57R58 #FOS: Mathematics #Geometric Topology (math.GT)
paper · doi:10.48550/arxiv.1911.05776
We give a sufficient condition using the Ozsváth-Stipsicz-Szabó concordance invariant Upsilon for the monodromy of the open book decomposition of a fibered knot to be right-veering. As an application, we generalize a result of Baker on ribbon concordances between fibered knots. Following Baker, we conclude that either fibered knots K in S3 satisfying that Υ'(t) = -g(K) for some t ∈ [0,1) are unique in their smooth concordance classes or there exists a counterexample to the Slice-Ribbon Conjecture.