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arXiv 1312.1122math.QAmath.GTmath.RT
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Khovanov-Kuperberg代数的Grothendieck群

Grothendieck groups of the Khovanov-Kuperberg algebras

Louis-Hadrien Robert

摘要:

利用Khovanov-Kuperberg代数的泡沫性质,计算了它们的生成投射模范畴的Grothendieck群.计算依赖于Hattori-Stallings迹线和固体圆环中泡沫的一些几何性质。

英文摘要:

The aim of this note is to take benefit of the foam nature of the Khovanov-Kuperberg algebras to compute the Grothendieck groups of their categories of finitely generated projective modules. The computation relies on the Hattori-Stallings trace and some geometrical properties of foams in a solid torus.

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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