Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Topological recursion relations and Gromov-Witten invariants in higher
  genus   We state and prove a topological recursion relation that expresses any
genus-g Gromov-Witten invariant of a projective manifold with at least a
(3g-1)-st power of a cotangent line class in terms of invariants with fewer
cotangent line classes. For projective spaces, we prove that these relations
together with the Virasoro conditions are sufficient to calculate the full
Gromov-Witten potential. This gives the first computationally feasible way to
determine the higher genus Gromov-Witten invariants of projective spaces.

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The categories of this paper are: hep-ph
25
The categories of this paper are: patt-sol
28
The categories of this paper are: alg-geom
30
The categories of this paper are: q-alg
20
The categories of this paper are: acc-phys
5
The categories of this paper are: gr-qc
22
The categories of this paper are: chao-dyn
8
The categories of this paper are: hep-ex
6
The categories of this paper are: astro-ph
18
The categories of this paper are: econ
17
The categories of this paper are: q-fin
35
The categories of this paper are: mtrl-th
21
The categories of this paper are: adap-org
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The categories of this paper are: physics
15
The categories of this paper are: nucl-ex
29
The categories of this paper are: funct-an