On boundary primitive manifolds and a theorem of Casson-Gordon

Yoav Moriah

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On boundary primitive manifolds and a theorem of Casson-Gordon

Yoav Moriah

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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 Casson-Gordon to manifolds with non-empty boundary. The situation for non-minimal genus Heegaard splittings is also investigated and it is shown that boundary stabilizations are stabilizations for manifolds which are boundary primitive.

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BibTeX RIS

Yoav Moriah. 2002-11-26. On boundary primitive manifolds and a theorem of Casson-Gordon. https://arxiv.org/abs/math/0201115

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