Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: G-links invariants, Markov traces and the semi-cyclic Uqsl2-modules   Kashaev and Reshetikhin proposed a generalization of the Reshetikhin-Turaev
link invariant construction to tangles with a flat connection in a principal
G-bundle over the complement of the tangle. The purpose of this paper is to
adapt and renormalize their construction to define invariants of G-links using
the semi-cyclic representations of the non-restricted quantum group associated
to sl2, defined by De Concini and Kac. Our construction uses a modified Markov
trace. In our main example, the semi-cyclic invariants are a natural extension
of the generalized Alexander polynomial invariants defined by Akutsu, Deguchi,
and Ohtsuki. Surprisingly, direct computations suggest that these invariants
are actually equal.

1
The categories of this paper are: cs
30
The categories of this paper are: q-alg
31
The categories of this paper are: ao-sci
11
The categories of this paper are: hep-lat
4
The categories of this paper are: cond-mat
28
The categories of this paper are: alg-geom
35
The categories of this paper are: mtrl-th
20
The categories of this paper are: acc-phys
21
The categories of this paper are: adap-org
13
The categories of this paper are: quant-ph
16
The categories of this paper are: stat
10
The categories of this paper are: q-bio
9
The categories of this paper are: nlin
17
The categories of this paper are: q-fin
36
The categories of this paper are: cmp-lg
25
The categories of this paper are: patt-sol