English

Broken Lefschetz fibrations and smooth structures on 4-manifolds

Geometric Topology 2012-05-25 v1

Abstract

The broken genera are orientation preserving diffeomorphism invariants of closed oriented 4-manifolds, defined via broken Lefschetz fibrations. We study the properties of the broken genera invariants, and calculate them for various 4-manifolds, while showing that the invariants are sensitive to exotic smooth structures.

Keywords

Cite

@article{arxiv.1205.5439,
  title  = {Broken Lefschetz fibrations and smooth structures on 4-manifolds},
  author = {R. Inanc Baykur},
  journal= {arXiv preprint arXiv:1205.5439},
  year   = {2012}
}

Comments

21 pages, 5 figures