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.

Introduction
Motivation
Topology
Structure
Geometric genes
Equivalence
Lattice points
Questions
Special Numbers