Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Higher complex structures   We introduce and analyze a new geometric structure on topological surfaces
generalizing the complex structure. To define this so called higher complex
structure we use the punctual Hilbert scheme of the plane. The moduli space of
higher complex structures is defined and is shown to be a generalization of the
classical Teichm\"uller space. We give arguments for the conjectural
isomorphism between the moduli space of higher complex structures and Hitchin's
component.

21
The categories of this paper are: adap-org
24
The categories of this paper are: dg-ga
17
The categories of this paper are: q-fin
20
The categories of this paper are: acc-phys
3
The categories of this paper are: physics
22
The categories of this paper are: chao-dyn
10
The categories of this paper are: q-bio
29
The categories of this paper are: funct-an
35
The categories of this paper are: mtrl-th
7
The categories of this paper are: hep-th
34
The categories of this paper are: chem-ph
36
The categories of this paper are: cmp-lg
23
The categories of this paper are: solv-int
15
The categories of this paper are: nucl-ex
30
The categories of this paper are: q-alg
28
The categories of this paper are: alg-geom