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The Abel map for surface singularities I. Generalities and examples
(2019)
Abstract. Let (X, o) be a complex normal surface singularity. We fix one of its good resolutions X → X, an effective cycle Z supported on the reduced exceptional curve, and any possible (first Chern) class l′ ∈ H 2 (X , ...
The abel map for surface singularities II. Generic analytic structure
(2019)
We study the analytic and topological invariants associated with complex normal surface singularities. Our goal is to provide topological formulae for several discrete analytic invariants whenever the analytic structure ...
Combinatorial duality for Poincaré series, polytopes and invariants of plumbed 3-manifolds
(2018-06)
Assume that the link of a complex normal surface singularity is a rational homology sphere. Then its Seiberg-Witten invariant can be computed as the ‘periodic constant’ of the topological multivariable Poincaré series (zeta ...
Surgery formulae for the Seiberg-Witten invariant of plumbed 3-manifolds
(2017-02)
Assume that $M(\mathcal{T})$ is a rational homology sphere plumbed 3--manifold associated with a connected negative definite graph $\mathcal{T}$. We consider the combinatorial multivariable Poincar\'e series associated ...