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International Mathematics Research Notices (2006) Vol. 2006 : article ID 72710, 17 pages, doi:10.1155/IMRN/2006/72710
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Copyright © 2006 Hindawi Publishing Corporation. All rights reserved.

Open books and plumbings

John B. Etnyre and Burak Ozbagci

School of Mathematics, Georgia Institute of Technology Atlanta, GA 30332-0160, USA E-mail address: etnyre{at}math.gatech.edu
Department of Mathematics, Koç University 34450 Sarryer, Istanbul, Turkey E-mail address: bozbagci{at}ku.edu.tr

We construct, somewhat nonstandard, Legendrian surgery diagrams for some Stein fillable contact structures on some plumbing trees of circle bundles over spheres. We then show how to put such a surgery diagram on the pages of an open book for S3, with relatively low genus. Thus we produce open books with low genus pages supporting these Stein fillable contact structures, and in many cases it can be shown that these open books have minimal genus pages.


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