Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Combinatorics of the Modular Group II: the Kontsevich integrals   We study algebraic aspects of Kontsevich integrals as generating functions
for intersection theory over moduli space and review the derivation of Virasoro
and KdV constraints.
  1. Intersection numbers
  2. The Kontsevich integral
  2.1. The main theorem
  2.2 Expansion of Z on characters and Schur functions
  2.3 Proof of the first part of the Theorem
  3. From Grassmannians to KdV
  4. Matrix Airy equation and Virasoro highest weight conditions
  5. Genus expansion
  6. Singular behaviour and Painlev'e equation.
  7. Generalization to higher degree potentials

18
The categories of this paper are: econ
11
The categories of this paper are: hep-lat
36
The categories of this paper are: cmp-lg
13
The categories of this paper are: quant-ph
32
The categories of this paper are: atom-ph
1
The categories of this paper are: cs
5
The categories of this paper are: gr-qc
14
The categories of this paper are: math-ph
20
The categories of this paper are: acc-phys
9
The categories of this paper are: nlin
24
The categories of this paper are: dg-ga
10
The categories of this paper are: q-bio
21
The categories of this paper are: adap-org
29
The categories of this paper are: funct-an
12
The categories of this paper are: nucl-th
22
The categories of this paper are: chao-dyn