University of Arkansas Topology Seminar: 2/5/2016

Speaker: Inanc Baykur

Title: Constructions of symplectic and exotic 4−manifolds via positive factorizations

We will discuss new ideas and techniques for producing positive Dehn twist factorizations of surface mapping classes (joint work with Mustafa Korkmaz) which yield novel constructions of interesting symplectic and smooth 4−manifolds, such as small symplectic Calabi−Yau surfaces and exotic rational surfaces, via Lefschetz fibrations and pencils on them.