Alexander A. Kubasch

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math.AG2025

Lattice cohomology and the embedded topological type of plane curve singularities

Alexander A. Kubasch, Gergő Schefler

Analytic lattice cohomology is a new invariant of reduced curve singularities. In the case of plane curves, it is an algebro-geometric analogue of Heegaard Floer Link homology. How…

math.AG2024

Structural properties of the lattice cohomology of curve singularities

Alexander A. Kubasch, András Némethi, Gergő Schefler

The lattice cohomology of a reduced curve singularity is a bigraded $Z [U]$ -module $H^{*} = \oplus_{q, n} H_{2 n}^{q}$ , that categorifies the $δ$ -invariant and…