English

On the topology of elliptic singularities

Algebraic Geometry 2019-01-21 v1

Abstract

For any elliptic normal surface singularity with rational homology sphere link we consider a new elliptic sequence, which differs from the one introduced by Laufer and S. S.-T. Yau. However, we show that their length coincide. Using the properties of both sequences we succeed to connect the common length with the geometric genus and also with several topological invariants, e.g. with the Seiberg--Witten invariant of the link.

Keywords

Cite

@article{arxiv.1901.06224,
  title  = {On the topology of elliptic singularities},
  author = {János Nagy and András Némethi},
  journal= {arXiv preprint arXiv:1901.06224},
  year   = {2019}
}