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A differential algebra and the homotopy type of the complement of a toric arrangement
Rendiconti Lincei-Matematica e Applicazioni ( IF 0.6 ) Pub Date : 2021-04-22 , DOI: 10.4171/rlm/924 Corrado De Concini 1 , Giovanni Gaiffi 2
Rendiconti Lincei-Matematica e Applicazioni ( IF 0.6 ) Pub Date : 2021-04-22 , DOI: 10.4171/rlm/924 Corrado De Concini 1 , Giovanni Gaiffi 2
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We show that the rational homotopy type of the complement of a toric arrangement is completely determined by two sets of discrete data. This is obtained by introducing a differential graded algebra over Q whose minimal model is equivalent to the Sullivan minimal model of $\mathcal A$.
中文翻译:
微分代数和复曲面排列补码的同伦型
我们表明,复曲面排列的补码的有理同伦类型完全由两组离散数据确定。这是通过在Q上引入微分渐变代数获得的,该代数的最小模型等于$ \ mathcal A $的Sullivan最小模型。
更新日期:2021-04-23
中文翻译:
微分代数和复曲面排列补码的同伦型
我们表明,复曲面排列的补码的有理同伦类型完全由两组离散数据确定。这是通过在Q上引入微分渐变代数获得的,该代数的最小模型等于$ \ mathcal A $的Sullivan最小模型。