Geodesic
Orbifold adjunction formula and symplectic cobordisms between lens spaces
Chen, Weimin1
1 Mathematics Department, Tulane University, New Orleans, Louisiana 70118, USA
Geometry & topology, Tome 8 (2004) no. 2, pp. 701-734.

Voir la notice de l'article provenant de la source Mathematical Sciences Publishers

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.

DOI : 10.2140/gt.2004.8.701
Keywords: cobordism of lens spaces, orbifold adjunction formula, symplectic 4–orbifolds, pseudoholomorphic curves

Chen, Weimin 1

1 Mathematics Department, Tulane University, New Orleans, Louisiana 70118, USA 
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Chen, Weimin. Orbifold adjunction formula and symplectic cobordisms between lens spaces. Geometry & topology, Tome 8 (2004) no. 2, pp. 701-734. doi : 10.2140/gt.2004.8.701. http://geodesic.mathdoc.fr/articles/10.2140/gt.2004.8.701/

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