On boundary primitive manifolds and a theorem of Casson-Gordon

  • Yoav Moriah
  • Published 2002

Abstract

In this paper it is shown that manifolds admitting minimal genus weakly reducible but irreducible Heegaard splittings contain an essential surface. This is an extension of a well known theorem of CassonGordon to manifolds with non-empty boundary. The situation for non-minimal genus Heegaard splittings is also investigated and it is shown that boundary… (More)

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