Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Cohomology classes of strata of differentials   We introduce a space of stable meromorphic differentials with poles of
prescribed orders and define its tautological cohomology ring. This space, just
as the space of holomorphic differentials, is stratified according to the set
of multiplicities of zeros of the differential. The main goal of this paper is
to compute the Poincar\'e-dual cohomology classes of all strata. We prove that
all these classes are tautological and give an algorithm to compute them.
  In a second part of the paper we study the Picard group of the strata. We use
the tools introduced in the first part to deduce several relations in these
Picard groups.

20
The categories of this paper are: acc-phys
33
The categories of this paper are: plasm-ph
16
The categories of this paper are: stat
1
The categories of this paper are: cs
22
The categories of this paper are: chao-dyn
21
The categories of this paper are: adap-org
3
The categories of this paper are: physics
28
The categories of this paper are: alg-geom
15
The categories of this paper are: nucl-ex
0
The categories of this paper are: hep-ph
35
The categories of this paper are: mtrl-th
7
The categories of this paper are: hep-th
18
The categories of this paper are: econ
17
The categories of this paper are: q-fin
30
The categories of this paper are: q-alg
6
The categories of this paper are: astro-ph