Lattice cohomology

Lattice cohomology

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Andras Nemethi, Alfréd Rényi Institute of Mathematics
Fine Hall 314

Any negative definite plumbed 3-manifold has its lattice cohomology, determined from the lattice of one of its plumbing representations. I will present several properties of the these modules, e.g., the `reduction theorem', which reduced the rank of the lattice to the number of `bad vertices'. Furthermore, I will define a modified version of the theory, called `path lattice cohomology'. I will discuss its motivation and connection with the theory of surface singularities.