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arXiv math/0405443math.GTmath.SG
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树型端点四维流形上的ASD模空间

ASD moduli spaces over four-manifolds with tree-like ends

Tsuyoshi Kato

摘要:

本文构造了Casson柄上的黎曼度量和权函数.我们证明了相应的Atiyah-Hitchin-Singer复形是某类有界型Casson柄的Fredholm复形。利用这些性质,我们构造了类中Casson柄上的有限维光滑流形的Yang-Mills模空间.

英文摘要:

In this paper we construct Riemannian metrics and weight functions over Casson handles. We show that the corresponding Atiyah-Hitchin-Singer complexes are Fredholm for some class of Casson handles of bounded type. Using these, the Yang-Mills moduli spaces are constructed as finite dimensional smooth manifolds over Casson handles in the class.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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