Dehn surgery and Seifert surface systems

• Makoto Ozawa ^[1] ; Koya Shimokawa ^[2]
  1. [1] Komazawa University

     Komazawa University

     Japón

     
  2. [2] Saitama University

     Saitama University

     Minuma-ku, Japón

     
• Localización: Annali della Scuola Normale Superiore di Pisa. Classe di scienze, ISSN 0391-173X, Vol. 17, Nº 1, 2017, págs. 267-276
• Idioma: inglés
• Enlaces
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• Resumen

  • For a compact connected 3-submanifold with connected boundary in the 3-sphere, we relate the existence of a Seifert surface system with properties of Dehn surgeries along null-homologous links. As a corollary, we obtain a refinement of Fox’s re-embedding theorem, and show the existence of a Seifert surface system for any closed surface in the 3-sphere.