Titlebook: Normal Surface Singularities; András Némethi Book 2022 The Editor(s) (if applicable) and The Author(s), under exclusive license to Springe

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,Topological Invariants. The Seiberg–Witten Invariant,Conjecture), which relates the Seiberg-Witten invariant of the link to the (equivariant) geometric genus. We prove it for several cases (e.g., rational, weighted homogeneous, splice quotient germs), and we provide also counterexamples (certain superisolated germs).

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0071-1136 ach with modern low-dimensional topology.Presents lattice coThis monograph provides a comprehensive introduction to the theory of complex normal surface singularities, with a special emphasis on connections to low-dimensional topology. In this way, it unites the analytic approach with the more recen

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Examples,ice quotients. As the last family of germs, we consider singularities with non-degenerate Newton principal part. We discuss both the classical case of hypersurfaces and also the case of Weil divisors in affine toric singularities.

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Invariants Associated with a Resolution,signature of Brieskorn and suspension hypersurface singularities. We also review some famous conjectures and open problems regarding hypersurface singularities. The last part reviews the theory of spin and spin. structures for manifolds of dimension 3 and 4.