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arXiv 0907.3698math.AT
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Minc的generating function和Thom谱的Segal猜想Minc的基本生成和Segal对Thom某些幽灵的猜想

Minc's generating function and a Segal conjecture for Thom spectra. La fonction generatrice de Minc et une conjecture de Segal pour certains spectres de Thom

Dang Ho Hai Nguyen, Lionel Schwartz, Ngoc Nam Tran

摘要:

一个构造极小内射决议某些不稳定的模块,似乎是模2上同调的Thom谱。分解项是由S. Mitchell和S.普里迪Andrews的一个组合结果表明所考虑模的Poincare级数的交错和为零。一个给出同伦应用这个结果。

英文摘要:

One constructs minimal injective resolutions for certain unstable modules that appears to be the mod 2 cohomology of Thom spectra. The terms of the resolution are tensor products of Brown-Gitler modules and Steinberg modules introduced by S. Mitchell and S. Priddy. A combinatorial result of Andrews shows that the alternating sum of the Poincare series of the considered modules is zero. One gives homotopical applications of this result.

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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