4-Manifolds which embed in IR6 but not in IR5, and Seifert manifolds for fibered knots.
T. Cochran (1984)
Inventiones mathematicae
Krzysztof K. Putyra (2014)
Banach Center Publications
We create a framework for odd Khovanov homology in the spirit of Bar-Natan's construction for the ordinary Khovanov homology. Namely, we express the cube of resolutions of a link diagram as a diagram in a certain 2-category of chronological cobordisms and show that it is 2-commutative: the composition of 2-morphisms along any 3-dimensional subcube is trivial. This allows us to create a chain complex whose homotopy type modulo certain relations is a link invariant. Both the original and the odd Khovanov...
Warren White (1970)
Fundamenta Mathematicae
Schwartz, Richard Evan (2005)
Geometry & Topology
Carl P. Simon (1974)
Inventiones mathematicae
Mei-Chu Chang (1983)
Mathematische Annalen
Jan van Mill (1983)
Fundamenta Mathematicae
William L. Reddy, David L. George (1975)
Mathematica Scandinavica
L.R. Taylor, R.C. Kirby (1990)
Commentarii mathematici Helvetici
Robion Kirby (1978)
Inventiones mathematicae
Patrick Eberlein (1982)
Mathematische Annalen
Helme-Guizon, Laure, Rong, Yongwu (2005)
Algebraic & Geometric Topology
Hans J. Munkholm (1979)
Mathematische Zeitschrift
Hoffman, Michael E. (2008)
The Electronic Journal of Combinatorics [electronic only]
Francisco González-Acuña (1994)
Revista Matemática Iberoamericana
A n-knot group is the fundamental group of the complement of an n-sphere smoothly embedded in Sn+2. Artin gave in 1925 ([A]) an algebraic characterization of 1-knot groups. M. Kervaire gave in 1965 ([K]) an algebraic characterization of n-knot groups for n ≥ 3. The problem of characterizing algebraically 2-knot groups has been posed several times (see for example [Su, Problem 4.7]). Ribbon 2-knot groups have been characterized algebraically by Yajima [Y].We will give here a characterization of 2-knot...
F. Knowles (1974)
Semigroup forum
Eric Robinson (1979)
Fundamenta Mathematicae
A. Szymański, M. Turzański (1974)
B. Hajduk (1973)
Colloquium Mathematicae
Friedrich W. Bauer (1977)
Journal für die reine und angewandte Mathematik