55 citations · 92 across the 2 of their papers we have counts for
2 papers
math.GT2005★ 55 cited
On the stable equivalence of open books in three-manifolds
Emmanuel Giroux, Noah Goodman
We show that two open books in a given closed, oriented three-manifold admit isotopic stabilizations, where the stabilization is made by successive plumbings with Hopf bands, if an…
math.GT2004★ 37 cited
Overtwisted open books from sobering arcs
Noah Goodman
We study open books on three manifolds which are compatible with an overtwisted contact structure. We show that the existence of certain arcs, called sobering arcs, is a sufficient…