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

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:
Non ci sono file associati a questo prodotto.

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/11568/108590
 Attenzione

Attenzione! I dati visualizzati non sono stati sottoposti a validazione da parte dell'ateneo

Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus ND
  • ???jsp.display-item.citation.isi??? ND
social impact