Contact 5manifolds admitting open books with exotic pages
Abstract
We construct a contact 5manifold supported by infinitely many distinct open books with the identity monodromy and pairwise exotic Stein pages (i.e. pages are pairwise homeomorphic but nondiffeomorphic Stein fillings of a fixed contact 3manifold), 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.
 Publication:

arXiv eprints
 Pub Date:
 February 2015
 DOI:
 10.48550/arXiv.1502.06118
 arXiv:
 arXiv:1502.06118
 Bibcode:
 2015arXiv150206118A
 Keywords:

 Mathematics  Geometric Topology;
 Mathematics  Symplectic Geometry;
 57R55;
 57R65;
 57R17
 EPrint:
 8 pages, 5 figures