Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On a Universal Invariant of 3-Manifolds   We construct an invariant of 3-manifolds using a modification of the
Kontsevich integral and Kirby's calculus. This invariant, as expected in
perturbative Chern-Simon theory, takes values in the algebra of oriented
3-valent graphs. This algebra is a Hopf algebra, graded by half the number of
vertices in 3-valent graphs. The degree 1 term of the invariant coincides with
Casson-Walker-Lescop invariant. The degree $n$ term is constructed out of the
universal Vassiliev invariant of links of degree less than or equal to $(l+1)n$
where $l$ is the number of link components.

31
The categories of this paper are: ao-sci
34
The categories of this paper are: chem-ph
10
The categories of this paper are: q-bio
29
The categories of this paper are: funct-an
6
The categories of this paper are: astro-ph
32
The categories of this paper are: atom-ph
8
The categories of this paper are: hep-ex
11
The categories of this paper are: hep-lat
14
The categories of this paper are: math-ph
16
The categories of this paper are: stat
35
The categories of this paper are: mtrl-th
22
The categories of this paper are: chao-dyn
12
The categories of this paper are: nucl-th
15
The categories of this paper are: nucl-ex
13
The categories of this paper are: quant-ph
37
The categories of this paper are: supr-con