Small symplectic and exotic 4-manifolds via positive factorizations

Small symplectic and exotic 4-manifolds via positive factorizations

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R. Inanc Baykur , U Mass - Amherst
Fine Hall 1201

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.