Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Geometric structures on G2 and Spin(7)-manifolds   This article studies the geometry of moduli spaces of G2-manifolds,
associative cycles, coassociative cycles and deformed Donaldson-Thomas bundles.
We introduce natural symmetric cubic tensors and differential forms on these
moduli spaces. They correspond to Yukawa couplings and correlation functions in
M-theory.
  We expect that the Yukawa coupling characterizes (co-)associative fibrations
on these manifolds. We discuss the Fourier transformation along such fibrations
and the analog of the Strominger-Yau-Zaslow mirror conjecture for G2-manifolds.
  We also discuss similar structures and transformations for Spin(7)-manifolds.

1
The categories of this paper are: cs
28
The categories of this paper are: alg-geom
36
The categories of this paper are: cmp-lg
23
The categories of this paper are: solv-int
16
The categories of this paper are: stat
10
The categories of this paper are: q-bio
32
The categories of this paper are: atom-ph
7
The categories of this paper are: hep-th
34
The categories of this paper are: chem-ph
29
The categories of this paper are: funct-an
5
The categories of this paper are: gr-qc
6
The categories of this paper are: astro-ph
30
The categories of this paper are: q-alg
27
The categories of this paper are: comp-gas
20
The categories of this paper are: acc-phys
25
The categories of this paper are: patt-sol