Half-balanced braided monoidal categories and Teichmueller groupoids in genus zero

Half-balanced braided monoidal categories and Teichmueller groupoids in genus zero
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零属中的半平衡辫状幺半群范畴和 Teichmueller 群群

DOI:
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发表时间:
2010
期刊:
arXiv: Quantum Algebra
影响因子:
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通讯作者:
B. Enriquez
B. Enriquez
中科院分区:
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文献类型:
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作者:
B. Enriquez

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我们介绍半平衡辫状幺半群范畴及其收缩的概念。这些概念给出了 QQ 的伽罗瓦群对属 0 中 Teichmueller 群群的作用的明确描述,相当于 L. Schneps 的作用。我们还表明,该动作的强效版本相当于分级动作。
We introduce the notions of a half-balanced braided monoidal category and of its contraction. These notions give rise to an explicit description of the action of the Galois group of QQ on Teichmueller groupoids in genus 0, equivalent to that of L. Schneps. We also show that a prounipotent version of this action is equivalent to a graded action.