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Unpublished Paper
Orbifold Adjunction Formula and Sympletic Corbordisms Between Lens Spaces
Geometry & Topology (2004)
  • Weimin Chen Chen, University of Massachusetts - Amherst

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 diffeomorphic 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 almost complex 4–orbifold, extending the relevant work of Gromov and McDuff in the manifold setting.

Publication Date
May 16, 2004
Pre-published version downloaded from archive ArXiv. The published version is located at
Citation Information
Weimin Chen Chen. "Orbifold Adjunction Formula and Sympletic Corbordisms Between Lens Spaces" Geometry & Topology (2004)
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