16 citations · 96 across the 25 of their papers we have counts for
3 papers · 1 filter
Genus bounds bridge number for high distance knots
Ryan Blair, Marion Campisi, Jesse Johnson +2
If a knot K in a closed, orientable 3-manifold M has a bridge surface T with distance at least 3 in the curve complex of T - K, then the genus of any essential surface in its exter…
Exceptional and cosmetic surgeries on knots
Ryan Blair, Marion Campisi, Jesse Johnson +2
We show that the distance of a link with respect to a bridge surface of any genus determines a lower bound on the genus of essential surfaces and Heegaard surfaces in the manif…
High Distance Bridge Surfaces
Ryan Blair, Maggy Tomova, Michael Yoshizawa
Given integers b, c, g, and n, we construct a manifold M containing a c-component link L so that there is a bridge surface Sigma for (M,L) of genus g that intersects L in 2b points…