Archiv der Mathematik

, Volume 104, Issue 6, pp 551–560 | Cite as

Contact open books with exotic pages



We consider a fixed contact 3-manifold that admits infinitely many compact Stein fillings which are all homeomorphic but pairwise non-diffeomorphic. Each of these fillings gives rise to a closed contact 5-manifold described as a contact open book whose page is the filling at hand and whose monodromy is the identity symplectomorphism. We show that the resulting infinitely many contact 5-manifolds are all diffeomorphic but pairwise non-contactomorphic. Moreover, we explicitly determine these contact 5-manifolds.

Mathematics Subject Classification



Open books Contact structures Stein fillings Exotic 4-manifolds 


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Copyright information

© Springer Basel 2015

Authors and Affiliations

  1. 1.Department of MathematicsKoç UniversityIstanbulTurkey
  2. 2.Department of Mathematics and Research Institute of MathematicsSeoul National UniversitySeoulSouth Korea

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