Showing papers in "Topology in 1996"

TL;DR: In this article, a new higher dimensional version of the McKay correspondence is proposed, which enables us to understand the "Hodge numbers" assigned to singular Gorenstein varieties by physicists, leading to the conjecture that string theory indicates the existence of some new cohomology theory H st ∗ (X) for algebraic varieties with gird singularities.

TL;DR: The filling theorem of Bonahon et al. as discussed by the authors describes how geometrically infinite ends of topologically tame hyperbolic 3-manifolds can be covered by a cover projection.

TL;DR: In this paper, the authors give a characterization of finite fillings on generalized iterated torus knots with a complete classification for the iterated Torus knots in the 3-sphere.

TL;DR: In this paper, the rational cohomology ring of the configuration space of n -tuples of distinct points in a smooth complex projective variety X is determined, and the answer depends only on the cohomological ring of X.

TL;DR: In this paper, the complete solution of constructing c 1 = 0 resolutions of 3-dimensional Gorenstein quotient singularities was given, and the equality between the Euler numbers of resolutions and the orbifold Euler characteristics of singularities were verified.

TL;DR: In this paper, it was shown that if p ⩽ q are the genera of two splittings of such a manifold, then there is a common stabilization of genus 5p + 8q − 9.

TL;DR: In this article, it was shown that the moduli space of complex Enriques surfaces is an affine variety with a copy of the affine line removed, by using the denominator function of a generalized Kac-Moody superalgebra associated with superstrings on a 10-dimensional torus.

TL;DR: In this paper, the authors define finite-type invariants for graphs as functionals on certain finite-dimensional vector spaces generated by spatial graphs, which are generalizations of Vassiliev's knot invariants to links and graphs.

TL;DR: In this paper, the authors introduce the notion of chord diagrams on arbitrary compact (possibly punctured) oriented surfaces and prove that chord diagrams have a natural Poisson structure on the moduli space of flat G-connections.

TL;DR: In this paper, Liu et al. showed that the modular invariance of elliptic genera implies the rigidity of Dirac operator on loop space twisted by higher level loop group representations, while the Witten rigidity theorems are special cases of level 1.

TL;DR: In this paper, the Conley indices of subsets of a continuous map are studied from the viewpoint of symbolic dynamics and a simple criterion for chaos in an isolated invariant set is proposed.

TL;DR: In this article, an orientable surface of genus g ⩾ 1, either closed or with one boundary component, is considered, and M is the mapping class group of F. Then M can be generated by two elements.

TL;DR: In this article, the authors considered the Milnor fibre of an isolated singularity on a reduced, Whitney stratified space germ and proved that it is homotopy equivalent to a bouquet of repeated suspensions of complex links of strata.

TL;DR: In this paper, a sharp upper bound for the number of nodal domains of spherical harmonics for the first six eigenvalues is deduced, where the first eigenvalue is defined as the largest eigenvectors of the harmonics.

TL;DR: In this article, it is shown that p preserves a non-atomic probability measure p and there exists an element y such that the di$eomorphism p(yO) is Anosov and in addition one of the following three conditions hold: (a) p is positive on open sets, i.e. supp p = T = T, and p is ergodic with respect to P.

TL;DR: In this paper, the authors prove a number of results which help describe the hypercohomology of general Milnor fibres with coefficients in bounded, constructible complexes of sheaves.

TL;DR: In this paper, it was shown that all invar~ants with negative index (i.e. c:, < 8~) can occur, and work by Chen [4,5] essentially did the same for the harder case of positive index.

TL;DR: In this article, it was shown that the topological group π 1 e (X, ω) ≡ lim {π 1 ( X − L)∣L ⊂ X is compact }.

TL;DR: In this article, a finite-dimensional Kahler manifold with a holomorphic, symplectic circle action whose reduced spaces may be identified with the τ-vortex moduli spaces (or τ-stable pairs) was constructed.

TL;DR: In this paper, it was shown that rational isomorphisms of p-compact groups restrict to admissible rational isomorphic of the maximal tori and the classification of rational homomorphisms between connected pcompact group is reduced to the simply connected case.