论文标题

强烈的准阳性链接与无限许多强烈的准链链路一致

Strongly quasipositive links are concordant to infinitely many strongly quasipositive links

论文作者

Truöl, Paula

论文摘要

我们表明,除Unlind以外的每个强烈的准稳定链接都与无限的许多(成对非同位素)强烈的准阳性链接平稳。与我们的结果相反,贝克猜想,平稳的一致性纤维纤维结是同位素。我们的建筑使用卫星操作,其同伴是一个切成薄片的结,最大的瑟斯顿·奔驰编号为-1。

We show that every strongly quasipositive link other than an unlink is smoothly concordant to infinitely many (pairwise non-isotopic) strongly quasipositive links. In contrast to our result, it was conjectured by Baker that smoothly concordant strongly quasipositive fibered knots are isotopic. Our construction uses a satellite operation whose companion is a slice knot with maximal Thurston-Bennequin number -1.

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