On the cohomology of the classifying space of the gauge group over some 4-complexes
On the cohomology of vector fields on parallelizable manifolds
In the present paper we determine for each parallelizable smooth compact manifold the second cohomology spaces of the Lie algebra of smooth vector fields on with values in the module . The case of is of particular interest since the gauge algebra of functions on with values in a finite-dimensional simple Lie algebra has the universal central extension with center , generalizing affine Kac-Moody algebras. The second cohomology classifies twists of the semidirect product of with the...
On the colored Jones polynomials of ribbon links, boundary links and Brunnian links
Habiro gave principal ideals of in which certain linear combinations of the colored Jones polynomials of algebraically-split links take values. The author proved that the same linear combinations for ribbon links, boundary links and Brunnian links are contained in smaller ideals of generated by several elements. In this paper, we prove that these ideals also are principal, each generated by a product of cyclotomic polynomials.
On the complex analytic Gel'fand-Fuks cohomology of open Riemann surfaces
The continuous cohomology theory of the Lie algebra of complex analytic vector fields on an open Riemann surface is studied. We show that the cohomology group with coefficients in the -module of germs of complex analytic tensor fields on the product space decomposes into the global part derived from the homology of and the local part coming from the coefficients.
On the complexity of braids
We define a measure of “complexity” of a braid which is natural with respect to both an algebraic and a geometric point of view. Algebraically, we modify the standard notion of the length of a braid by introducing generators , which are Garside-like half-twists involving strings through , and by counting powered generators as instead of simply . The geometrical complexity is some natural measure of the amount of distortion of the times punctured disk caused by a homeomorphism. Our main...
On the complexity of graph-manifolds.
On the components of the principal part of a manifold with a finite group action
On the conformal relation between twistors and Killing spinors
[For the entire collection see Zbl 0699.00032.] The author considers the conformal relation between twistors and spinors on a Riemannian spin manifold of dimension . A first integral is constructed for a twistor spinor and various geometric properties of the spin manifold are deduced. The notions of a conformal deformation and a Killing spinor are considered and such a deformation of a twistor spinor into a Killing spinor and conditions for the equivalence of these quantities is indicated.
On the Conjugacy Problem for Knot Groups.
On the connectedness of boundary and complement for domains
This article gives a short and elementary proof of the fact that the connectedness of the boundary of an open domain in ℝⁿ is equivalent to the connectedness of its complement.
On the connectivity of skeletons of pseudomanifolds with boundary
In this note we show that -skeletons and -skeletons of -pseudomanifolds with full boundary are -connected graphs and -connected -complexes, respectively. This generalizes previous results due to Barnette and Woon.
On the Connes operator in Hochschild homology.
On the Construction of Codimension Two Minimal Immersions of Exotic Spheres into Euclidean Spheres. II.
On the construction of constant mean curvature imbeddings of exotic and/or knotted spheres into Sn (1).
On the Construction of New Finite CW H-Spaces.
On the covering space and the automorphism group of the covering space.
On the cut number of a 3-manifold.
On the cut point conjecture.
On the De Rham Invariant of a Fibered (4r + l)-Dimensional Orientable Manifold.
On the degree of C...-determinacy.