Octagonal Knotworks. A Mathematical Approach
Alexander Astrom, Christoffr Astrom (2009)
Visual Mathematics
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Alexander Astrom, Christoffr Astrom (2009)
Visual Mathematics
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Alberto Cavicchioli, Friedrich Hegenbarth (1994)
Fundamenta Mathematicae
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We study the relation between the concept of spine and the representation of orientable bordered 3-manifolds by Heegaard diagrams. As a consequence, we show that composing invertible non-amphicheiral knots yields examples of topologically different knot manifolds with isomorphic spines. These results are related to some questions listed in [9], [11] and recover the main theorem of [10] as a corollary. Finally, an application concerning knot manifolds of composite knots with h prime factors...
Azam, Saeid, Khalili, Valiollah, Yousofzadeh, Malihe (2005)
Journal of Lie Theory
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Hashemi, M. (2009)
Acta Mathematica Academiae Paedagogicae Nyí regyháziensis. New Series [electronic only]
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Sibert, H. (2000)
Siberian Mathematical Journal
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M. S. Audu, A. Afolabi, E. Apine (2006)
Kragujevac Journal of Mathematics
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Alain Lascoux, Bernard Leclerc, Jean-Yves Thibon (1996)
Banach Center Publications
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Classes dual to Schubert cycles constitute a basis on the cohomology ring of the flag manifold F, self-adjoint up to indexation with respect to the intersection form. Here, we study the bilinear form (X,Y) :=〈X·Y, c(F)〉 where X,Y are cocycles, c(F) is the total Chern class of F and〈,〉 is the intersection form. This form is related to a twisted action of the symmetric group of the cohomology ring, and to the degenerate affine Hecke algebra. We give a distinguished basis for this form,...
Andrzej Szczepański, Andreĭ Vesnin (1999)
Fundamenta Mathematicae
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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.
Suchkov, N.M., Prikhod'ko, D.M. (2001)
Sibirskij Matematicheskij Zhurnal
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Zavarnitsin, A.V. (2002)
Sibirskij Matematicheskij Zhurnal
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Hillman, Jonathan A., Livingston, Charles, Naik, Swatee (2006)
Algebraic & Geometric Topology
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Ni, Yi (2006)
Algebraic & Geometric Topology
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W. Comfort, F. Trigos-Arrieta, Ta-Sun Wu (1997)
Fundamenta Mathematicae
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Mrowka, Tomasz, Rollin, Yann (2006)
Algebraic & Geometric Topology
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Zelenyuk, E.G., Protasov, I.V. (2001)
Sibirskij Matematicheskij Zhurnal
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