Curvature, connected sums, and Seiberg-Witten theory
Curvature, connected sums, and Seiberg-Witten theory
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DOI：
10.4310/cag.2003.v11.n5.a1
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发表时间：
2001-11
影响因子：
0.7
通讯作者：
M. Ishida;C. LeBrun
中科院分区：
文献类型：
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作者：
M. Ishida;C. LeBrun
我们考虑了紧致4-流形的几个直接源于黎曼变分问题的微分拓扑不变量。利用Bauer和Furuta的最新结果，我们在许多以前难以处理的情况下计算了这些不变量。特别地，我们现在能够计算某些复杂曲面的连通和的Yamabe不变量。
We consider several differential-topological invariants of compact 4-manifolds which directly arise from Riemannian variational problems. Using recent results of Bauer and Furuta, we compute these invariants in many cases that were previously intractable. In particular, we are now able to calculate the Yamabe invariant for certain connected sums of complex surfaces.