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arXiv 0903.4462math.AT
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Bauer-Furuta稳定同伦Seiberg-Witten不变量的同伦理论研究

Homotopy theoretical considerations of the Bauer-Furuta stable homotopy Seiberg-Witten invariants

Mikio Furuta, Yukio Kametani, Hirofumi Matsue, Norihiko Minami

摘要:

我们表明,“不存在”的结果是必不可少的所有以前已知的应用程序的鲍尔古田稳定同伦Seiberg-Witten不变量。作为一个例子,给出了附加不等式的统一证明。我们还证明了幂零现象解释了为什么Bauer-Furuta稳定同伦Seiberg-Witten不变量不足以证明11/8猜想。

英文摘要:

We show the "non-existence" results are essential for all the previous known applications of the Bauer-Furuta stable homotopy Seiberg-Witten invariants. As an example, we present a unified proof of the adjunction inequalities. We also show that the nilpotency phenomenon explains why the Bauer-Furuta stable homotopy Seiberg-Witten invariants are not enough to prove 11/8-conjecture.

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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