Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A Homological Approach to Relative Knot Invariants   We define relative versions of the classical invariants of Legendrian and
transverse knots in contact 3-manifolds for knots that are homologous to a
fixed reference knot. We show these invariants are well-defined and give some
basic properties.

37
The categories of this paper are: supr-con
13
The categories of this paper are: quant-ph
9
The categories of this paper are: nlin
4
The categories of this paper are: cond-mat
7
The categories of this paper are: hep-th
34
The categories of this paper are: chem-ph
31
The categories of this paper are: ao-sci
0
The categories of this paper are: hep-ph
36
The categories of this paper are: cmp-lg
19
The categories of this paper are: eess
25
The categories of this paper are: patt-sol
1
The categories of this paper are: cs
12
The categories of this paper are: nucl-th
8
The categories of this paper are: hep-ex
35
The categories of this paper are: mtrl-th
23
The categories of this paper are: solv-int