Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The analytic lattice cohomology of isolated singularities   We associate (under a minor assumption) to any analytic isolated singularity
of dimension $n\geq 2$ the `analytic lattice cohomology' ${\mathbb
H}^*_{an}=\oplus_{q\geq 0}{\mathbb H}^q_{an}$. Each ${\mathbb H}^q_{an}$ is a
graded ${\mathbb Z}[U]$--module. It is the extension to higher dimension of the
`analytic lattice cohomology' defined for a normal surface singularity with a
rational homology sphere link. This latest one is the analytic analogue of the
`topological lattice cohomology' of the link of the normal surface singularity,
which conjecturally is isomorphic to the Heegaard Floer cohomology of the link.
  The definition uses a good resolution $\widetilde{X}$ of the singularity
$(X,o)$. Then we prove the independence of the choice of the resolution, and we
show that the Euler characteristic of ${\mathbb H}^*_{an}$ is
$h^{n-1}({\mathcal O}_{\widetilde{X}})$. In the case of a hypersurface weighted
homogeneous singularity we relate it to the Hodge spectral numbers of the first
interval.

6
The categories of this paper are: astro-ph
1
The categories of this paper are: cs
35
The categories of this paper are: mtrl-th
26
The categories of this paper are: bayes-an
0
The categories of this paper are: hep-ph
36
The categories of this paper are: cmp-lg
20
The categories of this paper are: acc-phys
33
The categories of this paper are: plasm-ph
14
The categories of this paper are: math-ph
27
The categories of this paper are: comp-gas
9
The categories of this paper are: nlin
16
The categories of this paper are: stat
34
The categories of this paper are: chem-ph
31
The categories of this paper are: ao-sci
30
The categories of this paper are: q-alg
25
The categories of this paper are: patt-sol