Analytic lattice cohomology of isolated curve singularities

Tamás Ágoston, András Némethi

We construct a lattice cohomology ${\mathbb{H}}^{\ast }(C,o)={\oplus }_{q\ge 0}{\mathbb{H}}^q(C,o)$ and a graded root $\mathfrak{R}(C,o)$ to any complex isolated curve singularity $(C,o)$.…