Browsing by Author "László, T."
Now showing items 1-6 of 6
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Combinatorial duality for Poincaré series, polytopes and invariants of plumbed 3-manifolds
László, T.; Nagy, J.; Némethi, A.
(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 ... -
Delta invariant of curves on rational surfaces I. An analytic approach
Cogolludo-Agustín, J.I.; László, T.; Martín-Morales, J.; Némethi, A. (2021-01-01)
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 zeta-functions of plumbed 3-manifolds
(2018-08-27)A polynomial counterpart of the Seiberg-Witten invariant associated with a negative definite plumbing 3-manifold has been proposed by earlier work of the authors. It is provided by a special decomposition of the zeta-function ... -
Non-normal affine monoids, modules and Poincaré series of plumbed 3-manifolds
(2017-05-18)We construct a non-normal affine monoid together with its modules associated with a negative definite plumbed 3-manifold 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. (2018-09-18)
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 Seiberg-Witten invariant of plumbed 3-manifolds
László, T.; Nagy, J.; Némethi, A. (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 ...