论文标题

单位不变的估值和Tutte的序列

Unitarily invariant valuations and Tutte's sequence

论文作者

Bernig, Andreas

论文摘要

我们证明了FU的功率系列猜想,该猜想将复杂空间形式的等轴测数值代数与Tutte引入的组合功率系列的正式功率序列相关联。本系列的$ n $ th系数是三角形的三角形数量,内部边缘为$ 3N $;或Tamari晶格$ y_n $中的间隔数。

We prove Fu's power series conjecture which relates the algebra of isometry invariant valuations on complex space forms to a formal power series from combinatorics which was introduced by Tutte. The $n$-th coefficient of this series is the number of triangulations of a triangle with $3n$ internal edges; or the number of intervals in Tamari's lattice $Y_n$.

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