Surface Singularities and Invariants of Their Links

Explore the fascinating world of surface singularities and their link invariants in this 47-minute lecture by Josef Svoboda from the University of Miami/IMSA. Delve into the concept of assigning a natural 3-manifold, known as the link of singularity, to isolated surface singularities. Investigate the long-standing question of how many properties of the singularity can be recovered from this topological information. Discover the connections between quantum topological invariants of the link and the spectrum in the case of Brieskorn spheres, drawing from the work of Lawrence-Zagier, Hikami, and others. Gain insights into this complex mathematical topic and its implications for understanding surface singularities.