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Yoko Mizuma (2005)
Revista Matemática Complutense
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We give an explicit formula for the Casson-Walker invariant of double branched covers of S branched along ribbon knots of 1-fusion.
Alexander Astrom, Christoffr Astrom (2009)
Visual Mathematics
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Sakuma, Kazuhiro (2008)
International Journal of Open Problems in Computer Science and Mathematics. IJOPCM
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Graña, Matías (2004)
Beiträge zur Algebra und Geometrie
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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...
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.
Ni, Yi (2006)
Algebraic & Geometric Topology
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Hillman, Jonathan A., Livingston, Charles, Naik, Swatee (2006)
Algebraic & Geometric Topology
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Mrowka, Tomasz, Rollin, Yann (2006)
Algebraic & Geometric Topology
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Ruberman, Daniel, Saveliev, Nikolai (2004)
Geometry & Topology
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Sibert, H. (2000)
Siberian Mathematical Journal
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Vo-Thanh Liem, Gerard Venema (1995)
Fundamenta Mathematicae
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Knot complements in the n-sphere are characterized. A connected open subset W of is homeomorphic with the complement of a locally flat (n-2)-sphere in , n ≥ 4, if and only if the first homology group of W is infinite cyclic, W has one end, and the homotopy groups of the end of W are isomorphic to those of in dimensions less than n/2. This result generalizes earlier theorems of Daverman, Liem, and Liem and Venema.
Denne, Elizabeth, Diao, Yuanan, Sullivan, John M. (2006)
Geometry & Topology
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