Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Generalized Punctual Hilbert Schemes and $\mathfrak{g}$-complex
  structures   We define and analyze various generalizations of the punctual Hilbert scheme
of the plane, associated to complex or real Lie algebras. Out of these, we
construct new geometric structures on surfaces whose moduli spaces share
multiple properties with Hitchin components, and which are conjecturally
homeomorphic to them. For simple complex Lie algebras, this generalizes the
higher complex structure. For real Lie algebras, this should give an
alternative description of the Hitchin-Kostant-Rallis section.

33
The categories of this paper are: plasm-ph
27
The categories of this paper are: comp-gas
16
The categories of this paper are: stat
26
The categories of this paper are: bayes-an
11
The categories of this paper are: hep-lat
29
The categories of this paper are: funct-an
37
The categories of this paper are: supr-con
31
The categories of this paper are: ao-sci
4
The categories of this paper are: cond-mat
15
The categories of this paper are: nucl-ex
18
The categories of this paper are: econ
10
The categories of this paper are: q-bio
24
The categories of this paper are: dg-ga
20
The categories of this paper are: acc-phys
25
The categories of this paper are: patt-sol
1
The categories of this paper are: cs