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Ozsváth Szabó's correction term and lens surgery

Published online by Cambridge University Press:  01 January 2009

MOTOO TANGE
MOTOO TANGE*
Affiliation:
Department of Mathematics, Kyoto University, Kyoto 606-8224, Japan. e-mail: tange@math.kyoto-u.ac.jp
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Abstract

We will give an explicit formula of Ozsváth–Szabó's correction terms of lens spaces. Applying the formula to a restriction studied by P. Ozsváth and Z. Szabó in [12] and [13], we obtain several constraints of lens spaces which are constructed by a positive Dehn surgery in 3-sphere. Some of the constraints are results which are analogous to results which were known in [6] and [20] before. The constraints completely determine knots yielding L(p, 1) by positive Dehn surgery.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 146 , Issue 1 , January 2009 , pp. 119 - 134
Copyright
Copyright © Cambridge Philosophical Society 2008

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