论文标题

自由循环基团的可定向地图和多项式不变性

Orientable maps and polynomial invariants of free-by-cyclic groups

论文作者

Dowdall, Spencer, Gupta, Radhika, Taylor, Samuel J.

论文摘要

我们将自由循环基团的McMullen多项式与Alexander多项式联系起来。为此,我们介绍了可定向的完全不可还原的外部自动形态$φ$的概念,并在同源拉伸因子$φ$等于其几何伸展因子时使用它来表征它。

We relate the McMullen polynomial of a free-by-cyclic group to its Alexander polynomial. To do so, we introduce the notion of an orientable fully irreducible outer automorphism $φ$ and use it to characterize when the homological stretch factor of $φ$ is equal to its geometric stretch factor.

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