The topology of deformation spaces of Kleinian groups.
The topology of holomorphic flows with singularity
The topology of spaces of coprime polynomials.
The topology of the Banach–Mazur compactum
Let J(n) be the hyperspace of all centrally symmetric compact convex bodies , n ≥ 2, for which the ordinary Euclidean unit ball is the ellipsoid of maximal volume contained in A (the John ellipsoid). Let be the complement of the unique O(n)-fixed point in J(n). We prove that: (1) the Banach-Mazur compactum BM(n) is homeomorphic to the orbit space J(n)/O(n) of the natural action of the orthogonal group O(n) on J(n); (2) J(n) is an O(n)-AR; (3) is an Eilenberg-MacLane space ; (4) is noncontractible;...
The topology of the relative character varieties of a quadruply-punctured sphere.
The topology of the Yang-Mills theory over torus
The transfer maps induced in the algebraic K...- and K...-groups by a fibration I.
The twisted products of spheres that have the fixed point property
By a twisted product of Sⁿ we mean a closed, 1-connected 2n-manifold M whose integral cohomology ring is isomorphic to that of Sⁿ × Sⁿ, n ≥ 3. We list all such spaces that have the fixed point property.
The universal functorial Lefschetz invariant
We introduce the universal functorial Lefschetz invariant for endomorphisms of finite CW-complexes in terms of Grothendieck groups of endomorphisms of finitely generated free modules. It encompasses invariants like Lefschetz number, its generalization to the Lefschetz invariant, Nielsen number and -torsion of mapping tori. We examine its behaviour under fibrations.
The universal order one invariant of framed knots in most -bundles over orientable surfaces.
The Universal Smooth Surgery Class.
The universal Vassiliev-Kontsevich invariant for framed oriented links
The Variation of Isotropy Subalgebras for Analytic Transformation Goups.
The virtual and universal braids
We study the structure of the virtual braid group. It is shown that the virtual braid group is a semi-direct product of the virtual pure braid group and the symmetric group. Also, it is shown that the virtual pure braid group is a semi-direct product of free groups. From these results we obtain a normal form of words in the virtual braid group. We introduce the concept of a universal braid group. This group contains the classical braid group and has as quotients the singular braid group, virtual...
The virtual cohomological dimension of the mapping class group of an orientable surface.
The virtual Haken conjecture: Experiments and examples.
The volume spectrum of hyperbolic 4-manifolds.
The Weakly Neighborly Polyhedral Maps on the 2-Manifold with Euler Characteristic -1.
The Wecken property of the projective plane
A proof is given of the fact that the real projective plane has the Wecken property, i.e. for every selfmap , the minimum number of fixed points among all selfmaps homotopic to f is equal to the Nielsen number N(f) of f.
The Whitehead link, the Borromean rings and the knot 946 are universal.
A link L in S3 is universal if every closed, orientable 3-manifold is a covering of S3 branched over L. Thurston [1] proved that universal links exist and he asked if there is a universal knot, and also if the Whitehead link and the Figure-eight knot are universal. In [2], [3] we answered the first question by constructing a universal knot. The purpose of this paper is to prove that the Whitehead link and the Borromean rings, among others, are universal. The question about the Figure-eight knot...