English

Geography of surface bundles over surfaces

Geometric Topology 2023-02-15 v1 Symplectic Geometry

Abstract

We construct symplectic surface bundles over surfaces with positive signatures for all but 18 possible pairs of fiber and base genera. Meanwhile, we determine the commutator lengths of a few new mapping classes.

Keywords

Cite

@article{arxiv.2302.06702,
  title  = {Geography of surface bundles over surfaces},
  author = {R. Inanc Baykur and Mustafa Korkmaz},
  journal= {arXiv preprint arXiv:2302.06702},
  year   = {2023}
}

Comments

25 pages, 7 figures (in color)

R2 v1 2026-06-28T08:39:18.137Z