Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Descendents for stable pairs on 3-folds   We survey here the construction and the basic properties of descendent
invariants in the theory of stable pairs on nonsingular projective 3-folds. The
main topics covered are the rationality of the generating series, the
functional equation, the Gromov-Witten/Pairs correspondence for descendents,
the Virasoro constraints, and the connection to the virtual fundamental class
of the stable pairs moduli space in algebraic cobordism. In all of these
directions, the proven results constitute only a small part of the conjectural
framework. A central goal of the article is to introduce the open questions as
simply and directly as possible.

37
The categories of this paper are: supr-con
6
The categories of this paper are: astro-ph
9
The categories of this paper are: nlin
22
The categories of this paper are: chao-dyn
23
The categories of this paper are: solv-int
27
The categories of this paper are: comp-gas
8
The categories of this paper are: hep-ex
7
The categories of this paper are: hep-th
20
The categories of this paper are: acc-phys
3
The categories of this paper are: physics
33
The categories of this paper are: plasm-ph
19
The categories of this paper are: eess
31
The categories of this paper are: ao-sci
32
The categories of this paper are: atom-ph
21
The categories of this paper are: adap-org
4
The categories of this paper are: cond-mat