Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On Hitchin's Connection   The aim of this paper is to give an explicit expression for Hitchin's
connection in the case of rank 2 bundles with trivial determinant over curves
of genus 2. We recall the definition of this connection (which arose in Quantum
Field Theory) and characterize it for families of genus two curves. We then
consider a particular family (over a configuration space), the corresponding
vector bundles are (almost) trivial. The Heat equations which give the
connection these bundles are related to the Lie algebra so(6). We compute some
local monodromy representations. As a byproduct we obtain, for any
representation space V of so(2g+2), a flat connection on the trivial bundle
with fiber V over a configuration space and thus a monodromy representation of
a pure braid group.

37
The categories of this paper are: supr-con
18
The categories of this paper are: econ
0
The categories of this paper are: hep-ph
24
The categories of this paper are: dg-ga
25
The categories of this paper are: patt-sol
1
The categories of this paper are: cs
8
The categories of this paper are: hep-ex
11
The categories of this paper are: hep-lat
27
The categories of this paper are: comp-gas
9
The categories of this paper are: nlin
19
The categories of this paper are: eess
30
The categories of this paper are: q-alg
35
The categories of this paper are: mtrl-th
33
The categories of this paper are: plasm-ph
15
The categories of this paper are: nucl-ex
21
The categories of this paper are: adap-org