Families of Lefschetz Fibrations via Cyclic Group Actions

Geometry Topology Seminar
Monday, September 12, 2022 - 2:00pm for 1 hour (actually 50 minutes)
Skiles 006
Nur Saglam – Georgia Tech – nurmath7@gmail.com
John Etnyre
Using various diagonal cyclic group actions on the product manifolds Σgg for g>0, we obtain some families of Lefschetz fibrations over S^2. Then, we study the monodromies of these families applying the resolution of cyclic quotient singularities. We also realize some patterns of singular fibers and study deformations of these Lefschetz fibrations. Some cases give rise to nice applications using rational blow-down operation. This is a joint work with A. Akhmedov and M. Bhupal.