Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Comparing finite type invariants of knots and integral homology
  3-spheres   Using elementary counting methods of weight systems for finite type
invariants of knots and integral homology 3-spheres, in the spirit of [B-NG],
we answer positively three questions raised in [Ga]. In particular, we exhibit
a one-to-one map from the space of finite type invariants of integral homology
3-spheres to the space of finite type invariants of knots in $S^3$.

36
The categories of this paper are: cmp-lg
1
The categories of this paper are: cs
28
The categories of this paper are: alg-geom
17
The categories of this paper are: q-fin
13
The categories of this paper are: quant-ph
33
The categories of this paper are: plasm-ph
15
The categories of this paper are: nucl-ex
6
The categories of this paper are: astro-ph
0
The categories of this paper are: hep-ph
3
The categories of this paper are: physics
19
The categories of this paper are: eess
5
The categories of this paper are: gr-qc
22
The categories of this paper are: chao-dyn
9
The categories of this paper are: nlin
34
The categories of this paper are: chem-ph
29
The categories of this paper are: funct-an