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On symplectic fillings of lens spaces |
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| Authors: | Paolo Lisca |
| Affiliation: | Dipartimento di Matematica ``L. Tonelli', Università di Pisa, I-56127 Pisa, Italy |
| Abstract: | Let  be the contact structure naturally induced on the lens space  by the standard contact structure  on the three-sphere  . We obtain a complete classification of the symplectic fillings of  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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