Contact 5-manifolds admitting open books with exotic pages

2015/02/21 by Akbulut, Selman, Yasui, Kouichi
#57R17 #57R55 #57R65 #FOS: Mathematics #Geometric Topology (math.GT) #Symplectic Geometry (math.SG)

paper · doi:10.48550/arxiv.1502.06118

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 S²× S³ and #_n S²× S³ (n≥ 2) we construct infinitely many open books with pairwise exotic Stein pages (and identity monodromy) supporting mutually distinct contact structures.

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• Families of contact 3-manifolds with arbitrarily large Stein fillings
• Contact 5-manifolds and smooth structures on Stein 4-manifolds
• Partial twists and exotic Stein fillings
• A note on Stein fillings of contact manifolds