Murasugi sum

noun

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.

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Meanings

nounMurasugi sum (plural Murasugi sums)

plural Murasugi sums

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

Origin

After Kunio Murasugi.

Full word history & related roots →

Translations

French somme de Murasugi, somme de Murasugi
  • somme de Murasugiunion of a finite sequence of surfaces taken over a disk
  • somme de Murasugiunion of links
Cite this entry
APA

Murasugi sum. (n.d.). In WatkinsX Dictionary. Retrieved November 4, 2026, from https://dictionary.watkinsx.com/word/Murasugi%20sum

MLA

“Murasugi sum.” WatkinsX Dictionary, https://dictionary.watkinsx.com/word/Murasugi%20sum. Accessed November 4, 2026.

Chicago

WatkinsX Dictionary, s.v. “Murasugi sum,” accessed November 4, 2026, https://dictionary.watkinsx.com/word/Murasugi%20sum.

Source: Murasugi sum on Wiktionary, CC BY-SA 4.0.