Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Towards an enumerative geometry of the moduli space of twisted curves
  and r-th roots   The enumerative geometry of r-th roots of line bundles is the subject of
Witten's conjecture and occurs in the calculation of Gromov-Witten invariants
of orbifolds. It requires the definition of the suitable compact moduli stack
and the generalization of the standard techniques from the theory of moduli of
stable curves. In math.AG/0603687, we construct a compact stack by describing
the notion of stability in the context of twisted curves. In this paper, by
working with stable twisted curves, we extend Mumford's formula for the Chern
character of the Hodge bundle to the direct image of the universal r-th root in
K-theory.

5
The categories of this paper are: gr-qc
16
The categories of this paper are: stat
12
The categories of this paper are: nucl-th
0
The categories of this paper are: hep-ph
20
The categories of this paper are: acc-phys
35
The categories of this paper are: mtrl-th
29
The categories of this paper are: funct-an
30
The categories of this paper are: q-alg
18
The categories of this paper are: econ
24
The categories of this paper are: dg-ga
6
The categories of this paper are: astro-ph
26
The categories of this paper are: bayes-an
27
The categories of this paper are: comp-gas
33
The categories of this paper are: plasm-ph
31
The categories of this paper are: ao-sci
8
The categories of this paper are: hep-ex