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Milnor open books of
links of some rational surface singularities
Mohan Bhupal and Burak Ozbagci |
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Vol. 254 (2011), No. 1, 47–65
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Abstract |
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We determine Legendrian surgery diagrams for the canonical contact structures of links of rational surface singularities that are also small Seifert fibered 3-manifolds. Moreover, we describe an infinite family of Milnor fillable contact 3-manifolds so that, for each member of this family, the Milnor genus and Milnor norm are strictly greater than the support genus and support norm of the canonical contact structure. For some of these contact structures we construct supporting Milnor open books. |
Keywords
contact structure, Milnor open book, support genus, surface
singularity, Milnor fillable, Milnor genus
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Mathematical Subject Classification 2010
Primary: 32S25, 32S55, 53D10, 57R17
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Milestones
Received: 10 December 2010
Revised: 18 August 2011
Accepted: 31 August 2011
Published: 7 February 2012
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Authors |
| Mohan Bhupal | |
| Department of Mathematics Middle East Technical University 06531 Ankara Turkey |
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| http://www.metu.edu.tr/~bhupal/ | |
| Burak Ozbagci | |
| Department of Mathematics Koç University 34450 Istanbul Turkey |
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| http://home.ku.edu.tr/~bozbagci/ | |
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