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arXiv 0907.4226math.GTmath.AT
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几何头脑拓扑学家的Madsen-Weiss

Madsen-Weiss for geometrically minded topologists

Yakov Eliashberg, Soren Galatius, Nikolai Mishachev

摘要:

给出了Madsen-Weiss广义Mumford猜想的另一种证明。我们的证明基于类似于Madsen-Weiss原始证明的思想,但它更多的是几何的,而不是同伦理论的性质。争论的核心是几何形式的Harer稳定性,我们将其表述为关于折叠映射的定理。

英文摘要:

We give an alternative proof of Madsen-Weiss' generalized Mumford conjecture. Our proof is based on ideas similar to Madsen-Weiss' original proof, but it is more geometrical and less homotopy theoretical in nature. At the heart of the argument is a geometric version of Harer stability, which we formulate as a theorem about folded maps.

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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