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同调3-球中合痕纽结的Fox-Milnor条件

Fox-Milnor condition for concordant knots in homology 3-spheres

Huu-Bao Vuong

arXiv 2608.07039首次发表:更新:

AI 中文总结

本文证明定向同调3-球中切片型纽结的Alexander多项式满足Fox-Milnor条件,建立了该类空间中合痕纽结的Alexander多项式关系。

AI 中文摘要

本文将证明,定向同调3-球中切片型纽结的Alexander多项式满足Fox-Milnor多项式条件,建立了定向同调3-球中合痕纽结的Alexander多项式之间的关系。

英文摘要

This paper will show that the Alexander polynomial of a knot, which is of slice type in an oriented homology 3-sphere, obeys the Fox-Milnor polynomial condition. A relation between Alexander polynomial of concordant knots in an oriented homology 3-sphere is established.

CommentsPublished version contains an error in Theorem A and B; this version adds a correction note and citation

论文原文

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