Parity Condition for Irreducibility of Heegaard Splittings
نویسنده
چکیده
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.
منابع مشابه
Rectangle Condition for Irreducibility of Heegaard Splittings
Casson and Gordon gave the rectangle condition for strong irreducibility of Heegaard splittings [1]. We give a weak version of rectangle condition for irreducibility of Heegaard splittings. As an application, we give an example of an irreducible genus three Heegaard splitting of a 3-manifold which is not a minimal genus Heegaard splitting.
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