Orbifold adjunction formula and symplectic cobordisms between lens spaces

@article{Chen2004OrbifoldAF,
  title={Orbifold adjunction formula and symplectic cobordisms between lens spaces},
  author={Weimin Chen},
  journal={Geometry \& Topology},
  year={2004},
  volume={8},
  pages={701-734}
}
  • Weimin Chen
  • Published 2004
  • Mathematics
  • Geometry & Topology
Each lens space has a canonical contact structure which lifts to the distribution of complex lines on the three-sphere. In this paper, we show that a symplectic homology cobordism between two lens spaces, which is given with the canonical contact structure on the boundary, must be dieomorphic to the product of a lens space with the unit interval. As one of the main ingredients in the proof, we also derive in this paper the adjunction and intersection formulae for pseudoholomorphic curves in an… Expand
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