Jung Hoon Lee
Published 2008-12-01, updated 2009-02-05Version 3
Casson and Gordon gave the rectangle condition for strong irreducibility of Heegaard splittings [1]. We give a parity condition for irreducibility of Heegaard splittings of irreducible manifolds. As an application, we give examples of non-stabilized Heegaard splittings by doing a single Dehn twist.
Comments: The paper is totally rewritten. The title has been changed. 9 pages, 5 figures
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Strong coprimality and strong irreducibility of Alexander polynomials
Parity criterion and Dehn twists for unstabilized Heegaard splittings
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