Details

Autor(en) / Beteiligte

• Muñoz, Vicente

Titel

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

Ist Teil von

• Forum mathematicum, 2022-01, Vol.34 (1), p.197-223

Ort / Verlag

Berlin: De Gruyter

Erscheinungsjahr

2022

Link zum Volltext

Quelle

De Gruyter journals

Beschreibungen/Notizen

• We develop the Gompf fiber connected sum operation for symplectic orbifolds. We use it to construct a symplectic 4-orbifold with 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.