Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: An SL(2,C) Algebro-Geometric Invariant of Knots   In this paper, we define a new algebro-geometric invariant of 3-manifolds
resulting from the Dehn surgery along a hyperbolic knot complement in S^3. We
establish a Casson type invariant for these 3-manifolds. In the last section,
we explicitly calculate the character variety of the figure-eight knot and
discuss some applications, as well as the computation of our new invariants for
some 3-manifolds resulting from the Dehn surgery along the figure-eight knot.

7
The categories of this paper are: hep-th
22
The categories of this paper are: chao-dyn
19
The categories of this paper are: eess
14
The categories of this paper are: math-ph
1
The categories of this paper are: cs
28
The categories of this paper are: alg-geom
10
The categories of this paper are: q-bio
16
The categories of this paper are: stat
5
The categories of this paper are: gr-qc
37
The categories of this paper are: supr-con
13
The categories of this paper are: quant-ph
34
The categories of this paper are: chem-ph
4
The categories of this paper are: cond-mat
18
The categories of this paper are: econ
25
The categories of this paper are: patt-sol
32
The categories of this paper are: atom-ph