Heegaard splittings and virtually Haken Dehn filling.
Masters, J., Menasco, W., Zhang, X. (2004)
The New York Journal of Mathematics [electronic only]
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Displaying similar documents to “A genus for N-dimensional knots and links.”
Heegaard splittings and virtually Haken Dehn filling.
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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.
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Knots of (canonical) genus two
A. Stoimenow (2008)
Fundamenta Mathematicae
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We give a description of all knot diagrams of canonical genus 2 and 3, and give applications to positive, alternating and homogeneous knots, including a classification of achiral genus 2 alternating knots, slice or achiral 2-almost positive knots, a proof of the 3- and 4-move conjectures, and the calculation of the maximal hyperbolic volume for canonical (weak) genus 2 knots. We also study the values of the link polynomials at roots of unity, extending denseness results of Jones. Using...