The notion of integration with respect to the Euler characteristic and its generalizations are
discussed: integration over the infinite-dimensional spaces of arcs and functions, motivic …

Assume that is a connected negative definite plumbing graph, and that the associated
plumbed 3-manifold M is a rational homology sphere. We provide two new combinatorial …

We provide several results on splice-quotient singularities:(1) a combinatorial expression of
the dimension of the first cohomology of all 'natural'line bundles (involving the Seiberg …

Abstract We compute the Heegaard Floer link homology of algebraic links in terms of the
multi-variate Hilbert function of the corresponding plane curve singularities. The main result …

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

The lattice cohomology of a plumbed 3-manifold M associated with a connected negative
definite plumbing graph is an important tool in the study of topological properties of M and in …

The present note is part of a series of articles targeting the theory of Abel maps associated
with complex normal surface singularities with rational homology sphere links (Nagy and …

Let M be a rational homology sphere plumbed 3–manifold associated with a connected
negative-definite plumbing graph. We show that its Seiberg–Witten invariants equal certain …

One of the main questions in the theory of normal surface singularities is to understand the
relations between their geometry and topology. The lattice cohomology is an important tool …

Let (X, o) be a complex normal surface singularity. We fix one of its good resolutions X →
XX~→ X, an effective cycle Z supported on the reduced exceptional curve, and any possible …