On symplectic fillings of lens spaces

By P. Lisca. 2003

119 citations recorded by the source corpus.

Le ξ st be the contact structure naturally induced on the lens space L(p, q) = S 3 /Z/pZ by the standard contact structure ξ st on the three-sphere S 3 . We obtain a complete classification of the symplectic fillings of (L(p, q),(ξ 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.

Subfields: Geometry and Topology, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/e5ddd9d9a1062c5afc4f24d020ee1c31b3694e3b

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In Geometry and Topology

1. Chris Wendl
2. Michael Hutchings
3. J. Pardon

In Mathematical Physics

1. Chris Wendl
2. Michael Hutchings
3. J. Pardon

Citations in the corpus

• Strongly fillable contact manifolds and $J$-holomorphic foliations (2008, background): “[ Lis08 ,OO05]. By contrast, there are also contact manifolds that admit infinitely many non-diffeomorphic or non-homeomorphic Stein fillings: see [AEMS] and the references mentioned therein.”
• Planar open books, monodromy factorizations and symplectic fillings (2009, unknown): “p; q/ equipped with standard contact structures [18].”