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# Mathematical Research Letters

## Volume 22 (2015)

### Number 6

### Contact 5-manifolds admitting open books with exotic pages

Pages: 1589 – 1599

DOI: http://dx.doi.org/10.4310/MRL.2015.v22.n6.a2

#### Authors

#### 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 $\#_n S^2 \tilde{\times} S^3 (n \geq 2)$ we construct infinitely many open books with pairwise exotic Stein pages (and identity monodromy) supporting mutually distinct contact structures.

Published 23 May 2016