4-Manifolds which embed in IR6 but not in IR5, and Seifert manifolds for fibered knots.
A 2-category of chronological cobordisms and odd Khovanov homology
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...
A 2-complex is collapsible if and only if it admits a strongly convex metric
A better proof of the Goldman-Parker conjecture.
A Bound for the Fixed-Point Index of an Area-Preserving Map with Applications to Mechanics.
A Bound on the Order of Jumping Lines.
A boundary set for the Hilbert cube containing no arcs
A branch set linking theorem.
A calculation of Pin+ Bordism groups.
A Calculus for Framed Links in S3.
A Canonical Form for Compact Nonpositively Curved Manifolds Whose Fundamental Groups Have Nontrivial Center.
A categorification for the chromatic polynomial.
A Chain Level Transfer Homomorphism.
A character on the quasi-symmetric functions coming from multiple zeta values.
A characterization of 2-knots groups.
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...
A characterization of a class of semigroups.
A characterization of certain branched coverings as group actions
A characterization of cubes and spheres [Book]
A characterization of differentiable submanifolds of Euclidean spaces
A characterization of movable compacta.