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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 b1=0{b_{1}=0} and containing symplectic surfaces of genus 1 and… Click to show full abstract
Abstract We develop the Gompf fiber connected sum operation for symplectic orbifolds. We use it to construct a symplectic 4-orbifold with b1=0{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.
Keywords:
sum orbifolds;
smale barden;
gompf connected;
contact smale;
connected sum
Journal Title: Forum Mathematicum
Year Published: 2020
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Journal Title: Forum Mathematicum
Year Published: 2020
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!