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arXiv · 2003.07319

Gompf connected sum for orbifolds and K-contact Smale-Barden manifolds

Vicente Muñoz
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Abstract

We develop the Gompf fiber connected sum operation for symplectic orbifolds. We use it to construct a symplectic 4-orbifold with $b_1=0$ and containing symplectic surfaces of genus 1 and 2 that are disjoint and span the rational homology. This is used in turn to construct a K-contact Smale-Barden manifold with specified 2-homology that satisfies the known topological constraints with sharper estimates than the examples constructed previously. The manifold can be chosen spin or non-spin.

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Vicente Muñoz. 2020-03-16. Gompf connected sum for orbifolds and K-contact Smale-Barden manifolds. https://arxiv.org/abs/2003.07319

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