The main goal of the present article is the computation of the Heegaard Floer homology
introduced by Ozsváth and Szabó for a family of plumbed rational homology 3–spheres. The …

We formulate a very general conjecture relating the analytical invariants of a normal surface
singularity to the Seiberg–Witten invariants of its link provided that the link is a rational …

We say that an oriented contact manifold (M, ξ) is Milnor fillable if it is contactomorphic to the
contact boundary of an isolated complex-analytic singularity (X, x). In this article we prove …

The present article aims to discuss the graded roots introduced by the author in his study of
the topology of normal surface singularities. In the body of the paper we emphasize two …

The main message of the paper is that for Gorenstein singularities, whose (real) link is
rational homology sphere, the Artin--Laufer program can be continued. Here we give the …

Using lattice homology, we give an explicit combinatorial description of the Seiberg-Witten-
Floer spectrum $\mathit {SWF}(Y) $ for $ Y $ an almost-rational plumbed homology sphere …

arXiv:math/0312416v2 [math.AG] 16 Oct 2004 Page 1 arXiv:math/0312416v2 [math.AG] 16 Oct
2004 LINKS AND ANALYTIC INVARIANTS OF SUPERISOLATED SINGULARITIES I …

We study invariance of multiplicity of complex analytic germs and degree of complex affine
sets under outer bi‐Lipschitz transformations (outer bi‐Lipschitz homeomorphims of germs …

We prove that the link of a complex normal surface singularity is an L-space if and only if the
singularity is rational. This via a result of Hanselman et al.(Taut foliations on graph …

We study the analytic and topological invariants associated with complex normal surface
singularities. Our goal is to provide topological formulae for several discrete analytic …