Heegaard surfaces and the distance of amalgamation
نویسندگان
چکیده
منابع مشابه
Heegaard Surfaces and the Distance of Amalgamation
Let M1 and M2 be orientable irreducible 3–manifolds with connected boundary and suppose ∂M1 = ∂M2. Let M be a closed 3–manifold obtained by gluing M1 to M2 along the boundary. We show that if the gluing homeomorphism is sufficiently complicated, then M is not homeomorphic to S and all small-genus Heegaard splittings of M are standard in a certain sense. In particular, g(M) = g(M1) + g(M2) − g(∂...
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ژورنال
عنوان ژورنال: Geometry & Topology
سال: 2010
ISSN: 1364-0380,1465-3060
DOI: 10.2140/gt.2010.14.1871