Let T in S^3 be a right--handed trefoil, and let Y_r(T) be the closed, oriented 3-manifold obtained by performing rational r-surgery on the 3-sphere S^3 along T. In this paper we explain how to use contact surgery and the contact Ozsvath--Szabo invariants to construct positive, tight contact structures on Y_r(T) for every r not equal to 1. In particular, we give explicit constructions of positive, tight contact structures on the oriented boundaries of the positive E_6 and E_7 plumbings.
Ozsvath--Szabo invariants and contact surgery
LISCA, PAOLO;
2006-01-01
Abstract
Let T in S^3 be a right--handed trefoil, and let Y_r(T) be the closed, oriented 3-manifold obtained by performing rational r-surgery on the 3-sphere S^3 along T. In this paper we explain how to use contact surgery and the contact Ozsvath--Szabo invariants to construct positive, tight contact structures on Y_r(T) for every r not equal to 1. In particular, we give explicit constructions of positive, tight contact structures on the oriented boundaries of the positive E_6 and E_7 plumbings.File in questo prodotto:
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