Showing papers in "Topology in 1990"

TL;DR: In this paper, the authors used infinite families of moduli spaces to define an infinite set of invariants for a simply connected 4-manifold X with b: odd and strictly greater than 1.

TL;DR: In this article, the authors present a new and direct method for attacking the Novikov conjecture, which yields a proof of the conjecture for Gromov's (word) hyperbolic groups.

TL;DR: In this article, it was shown that the Poenaru conjecture does not hold for any manifold M = D2 x S with nonzero wrapping number, unless k has been cabled and the surgery is via the slope of the cabling annulus.

TL;DR: In this article, Weinberger et al. showed that the Ricci curvature of a complete manifold is a sufficient condition for the existence of an almost nilpotent subgroup.

TL;DR: In this paper, Kan et al. constructed a spectral sequence that converges strongly to the fundamental groups of the one point union of a pair of pointed connected CW complexes, whose E 2 term depends only on the diagram of the homotopy groups of individual spaces with action by the primary homotoopy operations.

TL;DR: In this paper, the homotopy theory of l-connected 4-manifolds has been studied and characterizations and computations of the groups HE(X), HE+X, HE + X, HE,(X) and n4( X) were presented.

TL;DR: In this article, the Atiyah-Singer G index theorem for Dirac complexes along the leaves of a foliation of a compact oriented manifold was shown to hold for general elliptic complexes.

TL;DR: Chudnovsky et al. as mentioned in this paper considered the index of the Dirac operator on the unicersal elliptic genus p(M) and showed that the index is a modular form of weight k for a congruence subgroup of SL(2, Z), which depends on the level of the representation of Spin(d).

TL;DR: In this article, it was shown that the difference in dimension is preserved under deformation of both the form and the curve, and that the jump in Milnor number in a flat family of curve singularities is equal to the vanishing Euler characteristic.

TL;DR: In this paper, the enhanced Milnor number is defined as the rank of the middle homology of a fiber F for a simple fibered link X = (S*” - r, K) in the stabilized tangent bundle TS2.

TL;DR: In this article, the connectivity of complex affine hypersurfaces is estimated in terms of the decomposition of the defining equation as a sum of weighted homogeneous components relative to some weight system.

TL;DR: In this article, the authors studied germs of holomorphic functions with a one dimensional critical locus Z(f) = I; and transverse type A, where the last condition is that around a general point p E Z \ (0) the functionfis right equivalent to the A, singularity.

TL;DR: In this article, the algebraic K-theory version of Novikov's conjecture is reduced to a single homotopy theoretic problem which is completely independent of the group n.

TL;DR: In this paper, the structural stability of vector fields whose nonwandering set is simple is studied and sufficient sufficient conditions for structural stability have been obtained in the boundaryless case by Robbin [12] and Robinson [ 133 and recently Mafib [S] completed the proof of the necessity of these conditions for C1 structural stability.

TL;DR: In this paper, it was shown that a 3-manifold can be represented as a cover of S3 branched over a fixed link if and only if S3 has virtually Z-representable fundamental groups.

TL;DR: In this article, a resolution complete de ce probleme for un feuilletage 9 defini par une fibration p : M + I3 de fibre F, B et F compactes connexes, telle que H, (F, R) = R.

TL;DR: In this article, it was shown that the configuration space model can be replaced by spaces like BGln(R), which are easier to deal with than the function space on the left.

TL;DR: In this article, the authors describe an algorithm which, given almost any commutator β of weight m in the free group on k letters, constructs a kcomponent Brunnian link of circles in R 3 which has the same Alexander's module as the trivial k-component link, but has a non-trivial Massey product of weightm. If β contains no repeat symbols then the corresponding link is not even linkhomotopic to a trivial link.