Topology of certain symplectic conifold transitions of $C{P}^1$-bundles

Abstract

In this paper, we prove the existence of certain symplectic conifold transitions on all $C{P}^1$-bundles over symplectic 4--manifolds, which generalizes Smith, Thomas and Yau's examples of symplectic conifold transitions on trivial $C{P}^1$-bundles over Kähler surfaces. Our main result is to determine the diffeomorphism types of such symplectic conifold transitions of $C{P}^1$-bundles. In particular, this implies that in the case of trivial $C{P}^1$-bundles over projective surfaces, Smith, Thomas and Yau's examples of symplectic conifold transitions are diffeomorphic to Kähler 3--folds.

References in corpus (1)

• Symplectic surgeries from singularities