7 citations · 7 across the 1 of their papers we have counts for
5 papers
Taut foliations from double-diamond replacements
Charles Delman, Rachel Roberts
A 3-manifold is foliar if it supports a codimension-one co-oriented taut foliation. Suppose is an oriented 3-manifold with connected boundary a torus, and suppose contains…
Persistently foliar composite knots
Charles Delman, Rachel Roberts
A knot in is persistently foliar if, for each non-trivial boundary slope, there is a co-oriented taut foliation meeting the boundary of the knot complement transversely i…
Taut foliations
William H. Kazez, Rachel Roberts
We describe notions of tautness that arise in the study of foliations, or smoother foliations, and in geometry. We give examples to show that these notions are diff…
Foliation Theory
William H. Kazez, Rachel Roberts
Transverse one dimensional foliations play an important role in the study of codimension one foliations. In \cite{KR2}, the authors introduced the notion of flow box decomposition…
Approximations of foliations
William H. Kazez, Rachel Roberts
Suppose that is a transversely oriented, codimension one foliation of a connected, closed, oriented 3-manifold. Suppose also that has continuous tangent p…