Classical and new plumbings bounding contractible manifolds and homology balls - Oğuz Şavk

Joint IAS/Princeton/Montreal/Paris/Tel-Aviv Symplectic Geometry

Topic: Classical and new plumbings bounding contractible manifolds and homology balls
Speaker: Oğuz Şavk
Affiliation: Boğaziçi University
Date: May 28, 2021

A central problem in low-dimensional topology asks which homology 3-spheres bound contractible 4-manifolds and homology 4-balls. In this talk, we address this problem for plumbed 3-manifolds and we present the classical and new results together. Along the way, we touch symplectic geometry by using the classical results of Eliashberg and Gompf. Our approach is based on Mazur’s famous argument which provides a unification of all results.