Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A proof of the shadow formula for the SU(2)-Reshetikhin-Turaev-Witten
  invariant   Turaev's shadow formula calculates the SU(2)-Reshetikhin-Turaev-Witten
invariants using shadows, and its expression is somehow similar to a Euler
characteristic. We give a short proof of this formula using skein theory.
  The formula applies to pairs (M,G) where M is a closed oriented 3-manifold
and GcM is a (possibly empty) colored framed trivalent graph (for instance, a
framed knot or link).

23
The categories of this paper are: solv-int
11
The categories of this paper are: hep-lat
31
The categories of this paper are: ao-sci
19
The categories of this paper are: eess
21
The categories of this paper are: adap-org
6
The categories of this paper are: astro-ph
20
The categories of this paper are: acc-phys
17
The categories of this paper are: q-fin
30
The categories of this paper are: q-alg
25
The categories of this paper are: patt-sol
9
The categories of this paper are: nlin
24
The categories of this paper are: dg-ga
3
The categories of this paper are: physics
36
The categories of this paper are: cmp-lg
37
The categories of this paper are: supr-con
0
The categories of this paper are: hep-ph