Transactions of the American Mathematical Society

Author(s): Paolo Lisca
Journal: Trans. Amer. Math. Soc. 360 (2008), 765-799.
MSC (2000): Primary 57R17; Secondary 53D35
Posted: September 18, 2007
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Abstract: Let $\overline\xi_{\rm st}$ be the contact structure naturally induced on the lens space $L(p,q)=S^3/\mathbb{Z}/p\mathbb{Z}$ by the standard contact structure $\xi_{\rm st}$ on the three-sphere

. We obtain a complete classification of the symplectic fillings of $(L(p,q),\overline\xi_{\rm st})$ up to orientation-preserving diffeomorphisms. In view of our results, we formulate a conjecture on the diffeomorphism types of the smoothings of complex two-dimensional cyclic quotient singularities.

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Retrieve articles in Transactions of the American Mathematical Society with MSC (2000): 57R17, 53D35

Paolo Lisca
Affiliation: Dipartimento di Matematica ``L. Tonelli'', Università di Pisa, I-56127 Pisa, Italy
Email: lisca@dm.unipi.it

DOI: 10.1090/S0002-9947-07-04228-6
PII: S 0002-9947(07)04228-6
Received by editor(s): October 11, 2005
Posted: September 18, 2007
Copyright of article: Copyright 2007, American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.

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