Browsing Singularity Theory and Algebraic Geometry by Author "László, T."
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Combinatorial duality for Poincaré series, polytopes and invariants of plumbed 3manifolds
László, T.; Nagy, J.; Némethi, A. (201806)Assume that the link of a complex normal surface singularity is a rational homology sphere. Then its SeibergWitten invariant can be computed as the ‘periodic constant’ of the topological multivariable Poincaré series (zeta ... 
Delta invariant of curves on rational surfaces I. An analytic approach
CogolludoAgustín, J.I.; László, T.; MartínMorales, J.; Némethi, A. (20210101)We prove that if (C, 0) is a reduced curve germ on a rational surface singularity (X, 0) then its delta invariant can be recovered by a concrete expression associated with the embedded topological type of the pair C X. ... 
Némethi’s division algorithm for zetafunctions of plumbed 3manifolds
László, T.; Szilágyi, Zs. (20180827)A polynomial counterpart of the SeibergWitten invariant associated with a negative definite plumbing 3manifold has been proposed by earlier work of the authors. It is provided by a special decomposition of the zetafunction ... 
Nonnormal affine monoids, modules and Poincaré series of plumbed 3manifolds
László, T.; Szilágyi, Zs. (20170518)We construct a nonnormal affine monoid together with its modules associated with a negative definite plumbed 3manifold M. In terms of their structure, we describe the $H_1(M,\mathbb{Z})$equivariant parts of the topological ... 
On the geometry of strongly flat semigroups and their generalizations
László, T.; Némethi, A. (20180918)Our goal is to convince the readers that the theory of complex normal surface singularities can be a powerful tool in the study of numerical semigroups, and, in the same time, a very rich source of interesting affine and ... 
Surgery formulae for the SeibergWitten invariant of plumbed 3manifolds
László, T.; Nagy, J.; Némethi, A. (201702)Assume that $M(\mathcal{T})$ is a rational homology sphere plumbed 3manifold associated with a connected negative definite graph $\mathcal{T}$. We consider the combinatorial multivariable Poincar\'e series associated ...