Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Vassiliev invariants: a new framework for quantum gravity   We show that Vassiliev invariants of knots, appropriately generalized to the
spin network context, are loop differentiable in spite of being diffeomorphism
invariant. This opens the possibility of defining rigorously the constraints of
quantum gravity as geometrical operators acting on the space of Vassiliev
invariants of spin nets. We show how to explicitly realize the diffeomorphism
constraint on this space and present proposals for the construction of
Hamiltonian constraints.

30
The categories of this paper are: q-alg
7
The categories of this paper are: hep-th
24
The categories of this paper are: dg-ga
35
The categories of this paper are: mtrl-th
12
The categories of this paper are: nucl-th
10
The categories of this paper are: q-bio
6
The categories of this paper are: astro-ph
27
The categories of this paper are: comp-gas
21
The categories of this paper are: adap-org
37
The categories of this paper are: supr-con
28
The categories of this paper are: alg-geom
20
The categories of this paper are: acc-phys
18
The categories of this paper are: econ
23
The categories of this paper are: solv-int
36
The categories of this paper are: cmp-lg
16
The categories of this paper are: stat