# The geometric genus of hypersurface singularities

András Némethi; Baldur Sigurdsson

Journal of the European Mathematical Society (2016)

- Volume: 018, Issue: 4, page 825-851
- ISSN: 1435-9855

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topNémethi, András, and Sigurdsson, Baldur. "The geometric genus of hypersurface singularities." Journal of the European Mathematical Society 018.4 (2016): 825-851. <http://eudml.org/doc/277740>.

@article{Némethi2016,

abstract = {Using the path lattice cohomology we provide a conceptual topological characterization of the geometric genus for certain complex normal surface singularities with rational homology sphere links, which is uniformly valid for all superisolated and Newton non-degenerate hypersurface singularities.},

author = {Némethi, András, Sigurdsson, Baldur},

journal = {Journal of the European Mathematical Society},

keywords = {normal surface singularities; hypersurface singularities; links of singularities; Newton non-degenerate singularities; geometric genus; plumbing graphs; $\mathbb \{Q\}$-homology spheres; lattice cohomology; path lattice cohomology; Heegaard–Floer homology; Seiberg–Witten invariant; normal surface singularities; hypersurface singularities; links of singularities; Newton non-degenerate singularities; geometric genus; plumbing graphs; $\mathbb \{Q\}$-homology spheres; lattice cohomology; path lattice cohomology; Heegaard-Floer homology; Seiberg-Witten invariant},

language = {eng},

number = {4},

pages = {825-851},

publisher = {European Mathematical Society Publishing House},

title = {The geometric genus of hypersurface singularities},

url = {http://eudml.org/doc/277740},

volume = {018},

year = {2016},

}

TY - JOUR

AU - Némethi, András

AU - Sigurdsson, Baldur

TI - The geometric genus of hypersurface singularities

JO - Journal of the European Mathematical Society

PY - 2016

PB - European Mathematical Society Publishing House

VL - 018

IS - 4

SP - 825

EP - 851

AB - Using the path lattice cohomology we provide a conceptual topological characterization of the geometric genus for certain complex normal surface singularities with rational homology sphere links, which is uniformly valid for all superisolated and Newton non-degenerate hypersurface singularities.

LA - eng

KW - normal surface singularities; hypersurface singularities; links of singularities; Newton non-degenerate singularities; geometric genus; plumbing graphs; $\mathbb {Q}$-homology spheres; lattice cohomology; path lattice cohomology; Heegaard–Floer homology; Seiberg–Witten invariant; normal surface singularities; hypersurface singularities; links of singularities; Newton non-degenerate singularities; geometric genus; plumbing graphs; $\mathbb {Q}$-homology spheres; lattice cohomology; path lattice cohomology; Heegaard-Floer homology; Seiberg-Witten invariant

UR - http://eudml.org/doc/277740

ER -

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