Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Symplectic and Isometric SL(2,R) invariant subbundles of the Hodge
  bundle   Suppose N is an affine SL(2,R)-invariant submanfold of the moduli space of
pairs (M,w) where M is a curve, and w is a holomorphic 1-form on M. We show
that the Forni bundle of N (i.e. the maximal SL(2,R)-invariant isometric
subbundle of the Hodge bundle of N) is always flat and is always orthogonal to
the tangent space of N. As a corollary, it follows that the Hodge bundle of N
is semisimple.

23
The categories of this paper are: solv-int
13
The categories of this paper are: quant-ph
37
The categories of this paper are: supr-con
5
The categories of this paper are: gr-qc
14
The categories of this paper are: math-ph
35
The categories of this paper are: mtrl-th
17
The categories of this paper are: q-fin
8
The categories of this paper are: hep-ex
11
The categories of this paper are: hep-lat
16
The categories of this paper are: stat
27
The categories of this paper are: comp-gas
18
The categories of this paper are: econ
15
The categories of this paper are: nucl-ex
29
The categories of this paper are: funct-an
33
The categories of this paper are: plasm-ph
9
The categories of this paper are: nlin