Borromean surgery equivalence of spin 3-manifolds with boundary

• Eva Contreras ^[2] ; Kazuo Habiro ^[1]
  1. [1] Kyoto University

     Kyoto University

     Kamigyō-ku, Japón

     
  2. [2] University of California, Berkeley, USA
• Localización: Annali della Scuola Normale Superiore di Pisa. Classe di scienze, ISSN 0391-173X, Vol. 14, Nº 4, 2015, págs. 1271-1282
• Idioma: inglés
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• Resumen

  • Matveev introduced Borromean surgery on 3-manifolds, and proved that the equivalence relation on closed, oriented 3-manifolds generated by Borromean surgery is characterized by the first homology group and the torsion linking pairing. Massuyeau generalized this result to closed, spin 3-manifolds, and the second author to compact, oriented 3-manifolds with boundary.

    In this paper we give a partial generalization of these results to compact, spin 3-manifolds with boundary.