2024/02/19 by Zapata, Sebastian
#57K10 (Secondary) #57K33 (Primary) #FOS: Mathematics #Geometric Topology (math.GT)
paper · doi:10.48550/arxiv.2402.12585
In the search for transverse-universal knots in the standard contact structure of \mathbbS3, we present a classification of the transverse twist knots with maximal self-linking number, that admit only overtwisted contact branched covers. As a direct consequence, we obtain an infinite family of transverse knots in (\mathbbS3,ξstd) that are not transverse-universal, although they are universal in the topological sense.