Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Stable pairs with descendents on local surfaces I: the vertical
  component   We study the full stable pair theory --- with descendents --- of the
Calabi-Yau 3-fold $X=K_S$, where $S$ is a surface with a smooth canonical
divisor $C$.
  By both $\mathbb C^*$-localisation and cosection localisation we reduce to
stable pairs supported on thickenings of $C$ indexed by partitions. We show
that only strict partitions contribute, and give a complete calculation for
length-1 partitions. The result is a surprisingly simple closed product formula
for these "vertical" thickenings.
  This gives all contributions for the curve classes $[C]$ and $2[C]$ (and
those which are not an integer multiple of the canonical class). Here the
result verifies, via the descendent-MNOP correspondence, a conjecture of
Maulik-Pandharipande, as well as various results about the Gromov-Witten theory
of $S$ and spin Hurwitz numbers.

5
The categories of this paper are: gr-qc
29
The categories of this paper are: funct-an
30
The categories of this paper are: q-alg
15
The categories of this paper are: nucl-ex
0
The categories of this paper are: hep-ph
19
The categories of this paper are: eess
4
The categories of this paper are: cond-mat
7
The categories of this paper are: hep-th
20
The categories of this paper are: acc-phys
21
The categories of this paper are: adap-org
37
The categories of this paper are: supr-con
9
The categories of this paper are: nlin
12
The categories of this paper are: nucl-th
35
The categories of this paper are: mtrl-th
22
The categories of this paper are: chao-dyn
26
The categories of this paper are: bayes-an