Symplectic and exotic 4-manifolds via positive factorizations

Symplectic and exotic 4-manifolds via positive factorizations

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R. İnanç Baykur, University of Massachusetts
Fine Hall 314

In this talk, we will discuss new ideas and techniques for producing positive Dehn twist factorizations of surface mapping classes, which yield novel constructions of various interesting symplectic and smooth 4-manifolds, such as symplectic Calabi-Yau surfaces and exotic rational surfaces, via Lefschetz fibrations and pencils. We will report on our progress and latest results in this multi-directional program.