In "Symplectic gluing along hypersurfaces and resolution of isolated orbifold singularities", the authors described a method of gluing symplectic manifolds along a class of hypersurfaces called "omega-compatible" hypersurfaces. They then applied this gluing to "symplectically resolve" the isolated orbifold singularities in symplectic four manifolds. Subsequently, Y. Eliashberg pointed out to us that, using contact hypersurfaces, it should be possible to "symplectically resolve" isolated algebraic singularities on a symplectic four manifold. The purpose of this note is to state and prove this result. Z ‹‰ .
Note: This paper has appeared in Volume 15 of the CRM Proceedings and Lecture Notes, published by the American Mathematical Society in 1998.
Contact: mccarthy@math.msu.edu
Last Revised 7/9/99