A genus for N-dimensional knots and links.
Alberto Cavicchioli (1985)
Collectanea Mathematica
Minian, Gabriel, Ottina, Miguel (2006)
Journal of Homotopy and Related Structures
M. Ferri, C. Gagliardi, L. Grasselli (1986)
Aequationes mathematicae
Stavros Papastavridis (1979)
Fundamenta Mathematicae
A. Skopenkov (2007)
Fundamenta Mathematicae
We define an isotopy invariant of embeddings of manifolds into Euclidean space. This invariant together with the α-invariant of Haefliger-Wu is complete in the dimension range where the α-invariant could be incomplete. We also define parametric connected sum of certain embeddings (analogous to surgery). This allows us to obtain new completeness results for the α-invariant and the following estimation of isotopy classes of embeddings. In the piecewise-linear category, for a (3n-2m+2)-connected...
C. R. Guilbault (2001)
Fundamenta Mathematicae
We construct a locally compact 2-dimensional polyhedron X which does not admit a 𝒵-compactification, but which becomes 𝒵-compactifiable upon crossing with the Hilbert cube. This answers a long-standing question posed by Chapman and Siebenmann in 1976 and repeated in the 1976, 1979 and 1990 versions of Open Problems in Infinite-Dimensional Topology. Our solution corrects an error in the 1990 problem list.
G. Ananda Swarup (1971)
Mathematische Zeitschrift
Luis Montejano (1983)
Manuscripta mathematica
Yoshikazu Yamaguchi (2008)
Annales de l’institut Fourier
We show a relationship between the non-acyclic Reidemeister torsion and a zero of the acyclic Reidemeister torsion for a -regular or -representation of a knot group. Then we give a method to calculate the non-acyclic Reidemeister torsion of a knot exterior. We calculate a new example and investigate the behavior of the non-acyclic Reidemeister torsion associated to a -bridge knot and -representations of its knot group.
Allan J. Sieradski (1977)
Mathematische Zeitschrift
Bagchi, Bhaskar, Datta, Basudeb (2001)
Advances in Geometry
Lawrencenko, Serge, Negami, Seiya, Sabitov, Idjad Kh. (2002)
Beiträge zur Algebra und Geometrie
Sylvain E. Cappell (1976)
Inventiones mathematicae
Carter, J.Scott, Kamada, Seiichi, Saito, Masahico, Satoh, Shin (2001)
Algebraic & Geometric Topology
P. Doyle (1975)
Fundamenta Mathematicae
Selman Akbulut, Laurence Taylor (1981)
Publications Mathématiques de l'IHÉS
L.C. Siebenmann (1970)
Commentarii mathematici Helvetici
Marietti, Mario, Testa, Damiano (2008)
The Electronic Journal of Combinatorics [electronic only]
Forman, Robin (2002)
Séminaire Lotharingien de Combinatoire [electronic only]
Shmuel Rosset (1984)
Mathematische Zeitschrift