English Dictionary

Murasugi sum

名詞

The union of a finite sequence of surfaces taken over a disk common to every adjacent pair of the sequence, such that the boundary of the disk comprises some even number of closed arcs, disjoint except at their endpoints, which are alternatingly subarcs of the two surfaces' boundaries.

日本語の意味

Murasugi sumとは、隣接する各面が共通の円盤（ディスク）を介して合成された面の和集合のことを指します。この円盤の境界は閉じた弧が偶数個連なったもので、その弧は端点以外では互いに交わらず、各弧が交互に隣り合う2つの面の境界線に属するという特徴があります。

The researcher demonstrated that the Murasugi sum of the two Seifert surfaces produced a new surface whose boundary was equivalent to the original knot.

研究者は、2つのセイフェルト面を共通の円盤で貼り合わせて得られる曲面の合併が、元の結び目と同等の境界を持つ新しい曲面を生じることを示した。

意味（1）

The union of a finite sequence of surfaces taken over a disk common to every adjacent pair of the sequence, such that the boundary of the disk comprises some even number of closed arcs, disjoint except at their endpoints, which are alternatingly subarcs of the two surfaces' boundaries.

意味（2）

The union of links formed by taking such a sum of their Seifert surfaces and taking the boundary of the result.

Murasugi sums （ plural ）