Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Enumeration of real curves in CP^{2n-1} and a WDVV relation for real
  Gromov-Witten invariants   We establish a homology relation for the Deligne-Mumford moduli spaces of
real curves which lifts to a WDVV-type relation for real Gromov-Witten
invariants of real symplectic manifolds; we also obtain a vanishing theorem for
these invariants. For many real symplectic manifolds, these results reduce all
genus 0 real invariants with conjugate pairs of constraints to genus 0
invariants with a single conjugate pair of constraints. In particular, we give
a complete recursion for counts of real rational curves in odd-dimensional
projective spaces with conjugate pairs of constraints and specify all cases
when they are nonzero and thus provide non-trivial lower bounds in
high-dimensional real algebraic geometry. We also show that the real invariants
of the three-dimensional projective space with conjugate point constraints are
congruent to their complex analogues modulo 4.

23
The categories of this paper are: solv-int
31
The categories of this paper are: ao-sci
8
The categories of this paper are: hep-ex
5
The categories of this paper are: gr-qc
3
The categories of this paper are: physics
11
The categories of this paper are: hep-lat
4
The categories of this paper are: cond-mat
36
The categories of this paper are: cmp-lg
10
The categories of this paper are: q-bio
26
The categories of this paper are: bayes-an
13
The categories of this paper are: quant-ph
28
The categories of this paper are: alg-geom
17
The categories of this paper are: q-fin
9
The categories of this paper are: nlin
7
The categories of this paper are: hep-th
35
The categories of this paper are: mtrl-th