论文标题
GOMPF连接的Orbifolds和K-Contact Smale-Barden歧管的总和
Gompf connected sum for orbifolds and K-contact Smale-Barden manifolds
论文作者
论文摘要
我们为符号轨道的GOMPF光纤连接的总和操作开发。我们使用它来构建一个具有$ b_1 = 0 $的符号4-孔，并包含脱节属的属1和2的符号表面，这些表面是不相交的，并且跨越了合理同源性。这反过来又用来构建具有指定的2词的K触发Smale-Barden歧管，该词素满足已知的拓扑约束，并且比以前构建的示例更清晰。可以选择歧管旋转或非旋转。
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.
