Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Equivariant cohomology and current algebras   Let M be a manifold and g a Lie algebra acting on M. Differential forms
Omega(M) carry a natural action of Lie derivatives L(x) and contractions I(x)
of fundamental vector fields for x \in g. Contractions (anti-) commute with
each other, [I(x), I(y)]=0. Together with the de Rham differential, they
satisfy the Cartan's magic formula [d, I(x)]=L(x).
  In this paper, we define a differential graded Lie algebra Dg, where instead
of commuting with each other, contractions form a free Lie superalgebra. It
turns out that central extensions of Dg are classified (under certain
assumptions) by invariant homogeneous polynomials p on g. This construction
gives a natural framework for the theory of twisted equivariant cohomology and
a new interpretation of Mickelsson-Faddeev-Shatashvili cocycles of higher
dimensional current algebras. As a topological application, we consider
principal G-bundles (with G a Lie group integrating g), and for every
homogeneous polynomial p on g we define a lifting problem with the only
obstruction the corresponding Chern-Weil class cw(p).

31
The categories of this paper are: ao-sci
4
The categories of this paper are: cond-mat
23
The categories of this paper are: solv-int
1
The categories of this paper are: cs
30
The categories of this paper are: q-alg
18
The categories of this paper are: econ
12
The categories of this paper are: nucl-th
0
The categories of this paper are: hep-ph
34
The categories of this paper are: chem-ph
25
The categories of this paper are: patt-sol
19
The categories of this paper are: eess
26
The categories of this paper are: bayes-an
20
The categories of this paper are: acc-phys
15
The categories of this paper are: nucl-ex
10
The categories of this paper are: q-bio
32
The categories of this paper are: atom-ph