分野別セミナー

【講演要旨】In this talk, we will explore the construction of small Lefschetz fibrations over tori with signature zero. We then discuss how such constructions can be used to produce simply-connected exotic 4-manifolds with signature zero, highlighting the smallest examples established to date. The construction of these fibrations incorporates combinatorial techniques in mapping class groups, whereas the creation of the 4-manifolds relies on surgeries performed along tori. This is joint work with Inanc Baykur (UMass Amherst).