English

Rational homology disk smoothings and Lefschetz fibrations

Geometric Topology 2023-01-02 v1 Symplectic Geometry

Abstract

In this article, we generalize the results discussed in [arXiv:1004.3762] by introducing a genus to generic fibers of Lefschetz fibrations. That is, we give families of relations in the mapping class groups of genus-1 surfaces with boundaries that represent rational homology disk smoothings of weighted homogeneous surface singularities whose resolution graphs are 33-legged with a bad central vertex.

Keywords

Cite

@article{arxiv.2212.14673,
  title  = {Rational homology disk smoothings and Lefschetz fibrations},
  author = {Hakho Choi},
  journal= {arXiv preprint arXiv:2212.14673},
  year   = {2023}
}

Comments

25 pages, 39 Figures, To appear in J. Korean Math. Soc