Lattice Cohomology - Part 1

Explore a comprehensive lecture on Lattice Cohomology in this first part of a series presented by András Némethi from the Rényi Institute of Mathematics. Delve into the topological lattice cohomology associated with negative definite plumbed 3-manifolds and links of normal surface singularities. Discover how this theory relates to Heegaard Floer theory and Seiberg-Witten invariants. Examine the construction of analytic lattice cohomology for isolated singularities, understanding its role as a categorification of the geometric genus. Investigate the variation of analytic lattice cohomology in measuring different analytic structures on a fixed topological type. Gain insights into deformation theoretical connections and explore topics such as motivation, topology, structure, geometric genes, equivalence, lattice points, and special numbers.