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We show that any Heegaard splitting of the pair of the solid torus (≅D2xS1) and its core loop (an interior point xS1) is standard, using the notion of Heegaard splittings of pairs of 3-manifolds and properly imbedded graphs, which is defined in this paper.

Heegard and regular genus agree for compact $3$ -manifolds

Paola Cristofori (1998)

Cahiers de Topologie et Géométrie Différentielle Catégoriques

Hegaard genus of closed orientable Seifert 3-manifolds.

M. Boileau, H. Zieschang (1984)

Inventiones mathematicae

Hénon mappings in the complex domain I : the global topology of dynamical space

John H. Hubbard, Ralph W. Oberste-Vorth (1994)

Publications Mathématiques de l'IHÉS

Herissons et multiherissons (enveloppes parametrées par leur application de Gauss)

Rémi Langevin, Harold Rosenberg (1988)

Banach Center Publications

Hermitian forms on link modules.

M. Farber (1991)

Commentarii mathematici Helvetici

High-dimensional knots corresponding to the fractional Fibonacci groups

Andrzej Szczepański, Andreĭ Vesnin (1999)

Fundamenta Mathematicae

We prove that the natural HNN-extensions of the fractional Fibonacci groups are the fundamental groups of high-dimensional knot complements. We also give some characterization and interpretation of these knots. In particular we show that some of them are 2-knots.

Higher dimensional simple knots and minimal Seifert surfaces.

Eva Bayer-Fluckiger (1983)

Commentarii mathematici Helvetici

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