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

被引:2
|
作者
Munoz, Vicente [1 ]
机构
[1] Univ Malaga, Dept Algebra Geometria & Topol, Campus Teatinos S-N, Malaga 29071, Spain
关键词
Symplectic; orbifold; connected sum; K-contact; Seifert circle bundle;
D O I
10.1515/forum-2020-0131
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
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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页码:197 / 223
页数:27
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