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Asymptotically quasiconformal four manifolds

机译:渐近拟形四流形

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We give a formulation of Yang-Mills gauge theory for open smooth four-dimensional manifolds whose ends are homeomorphic to S~3× [0, ∞). We apply this formulation to the study of conformal structures of such manifolds. We introduce the notion of asymptotically quasiconformal homeomorphic manifolds and show that there exist manifolds which are mutually homeomorphic but not asymptotically quasiconformal homeomorphic.
机译:对于端部为S〜3×[0,∞)同胚的开放光滑四维流形,我们提出了Yang-Mills规范理论。我们将此公式应用于此类歧管的共形结构的研究。我们介绍了渐近拟形同胚流形的概念,并表明存在互为同胚但不渐近拟形同胚流形的流形。

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