Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Diffeomorphisms from finite triangulations and absence of 'local'
  degrees of freedom   If the diffeomorphism symmetry of general relativity is fully implemented
into a path integral quantum theory, the path integral leads to a partition
function which is an invariant of smooth manifolds. We comment on the physical
implications of results on the classification of smooth and piecewise-linear
4-manifolds which show that the partition function can already be computed from
a triangulation of space-time. Such a triangulation characterizes the topology
and the differentiable structure, but is completely unrelated to any physical
cut-off. It can be arbitrarily refined without affecting the physical
predictions and without increasing the number of degrees of freedom
proportionally to the volume. Only refinements at the boundary have a physical
significance as long as the experimenters who observe through this boundary,
can increase the resolution of their measurements. All these are consequences
of the symmetries. The Planck scale cut-off expected in quantum gravity is
rather a dynamical effect.

23
The categories of this paper are: solv-int
3
The categories of this paper are: physics
17
The categories of this paper are: q-fin
22
The categories of this paper are: chao-dyn
36
The categories of this paper are: cmp-lg
18
The categories of this paper are: econ
14
The categories of this paper are: math-ph
1
The categories of this paper are: cs
26
The categories of this paper are: bayes-an
20
The categories of this paper are: acc-phys
33
The categories of this paper are: plasm-ph
28
The categories of this paper are: alg-geom
29
The categories of this paper are: funct-an
35
The categories of this paper are: mtrl-th
21
The categories of this paper are: adap-org
27
The categories of this paper are: comp-gas