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P. Cristofori, C. Gagliardi, L. Grasselli (1995)
Revista Matemática de la Universidad Complutense de Madrid
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By means of branched coverings techniques, we prove that the Heegaard genus and the regular genus of an orientable 3-manifold with boundary coincide.
Maria Rita Casali, Luca Malagoli (1997)
Cahiers de Topologie et Géométrie Différentielle Catégoriques
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Alberto Cavicchioli, Mauro Meschiari (1993)
Cahiers de Topologie et Géométrie Différentielle Catégoriques
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Fulvia Spaggiari (1999)
Collectanea Mathematica
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Sedgwick, Eric (2001)
Algebraic & Geometric Topology
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Luigi Grasselli (1987)
Disertaciones Matemáticas del Seminario de Matemáticas Fundamentales
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Alberto Cavicchioli (1985)
Collectanea Mathematica
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Michel Boileau, D. J. Collins, H. Zieschang (1991)
Annales de l'institut Fourier
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The genus 2 Heegaard splittings and decompositions of Seifert manifolds over with 3 exeptional fibres are classified with respect to isotopies and homeomorphisms. In general there are 3 different isotopy classes of Heegaard splittings and 6 different isotopy classes of Heegaard decompositions. Moreover, we determine when a homeomorphism class is not an isotopy class.