Contact 5-manifolds admitting open books with exotic pages

Abstract

We construct a contact 5-manifold supported by infinitely many distinct open books with the identity monodromy and pairwise exotic Stein pages (i.e. pages are pairwise homeomorphic but non-diffeomorphic Stein fillings of a fixed contact 3-manifold), moreover we describe a process of generating infinitely many such examples. In contrast to this result, on each of ${\#}_n{S}^2\times S^3$ and ${\#}_n{S}^2\tilde{\times }{S}^3$ $(n\ge 2)$ we construct infinitely many open books with pairwise exotic Stein pages (and identity monodromy) supporting mutually distinct contact structures.

8 pages, 5 figures

References in corpus (1)

• Infinitely many small exotic Stein fillings

Cited by in corpus (1)

• Contact 5-manifolds and smooth structures on Stein 4-manifolds