2 citations · 2 across the 2 of their papers we have counts for
4 papers
Bridge Positions of Links That Cannot Be Monotonically Simplified
Puttipong Pongtanapaisan, Daniel Rodman
For any pair of integers and such that , we provide an infinite family of links, where each link in the family has a locally minimal -bridge position and a global…
On keen weakly reducible bridge spheres
Puttipong Pongtanapaisan, Daniel Rodman
A bridge sphere is said to be keen weakly reducible if it admits a unique pair of disjoint compressing disks on opposite sides. In particular, such a bridge sphere is weakly reduci…
Critical Bridge Spheres for Links with Arbitrarily Many Bridges
Puttipong Pongtanapaisan, Daniel Rodman
We show that for every integer , there exists a link in a -bridge position with respect to a critical bridge sphere. In fact, for each , we construct an infinite fam…
An Infinite Family of Links with Critical Bridge Spheres
Daniel Rodman
A closed, orientable, splitting surface in an oriented -manifold is a topologically minimal surface of index if its associated disk complex is -connected but not $(n-…