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

Abstract

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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.

How to cite

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Némethi, 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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