Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Order in the concordance group and Heegaard Floer homology   We use the Heegaard-Floer homology correction terms defined by
Ozsv\'{a}th--Szab\'{o} to formulate a new obstruction for a knot to be of
finite order in the smooth concordance group. This obstruction bears a formal
resemblance to that of Casson and Gordon but is sensitive to the difference
between the smooth versus topological category. As an application we obtain new
lower bounds for the concordance order of small crossing knots.

33
The categories of this paper are: plasm-ph
16
The categories of this paper are: stat
36
The categories of this paper are: cmp-lg
35
The categories of this paper are: mtrl-th
3
The categories of this paper are: physics
29
The categories of this paper are: funct-an
37
The categories of this paper are: supr-con
18
The categories of this paper are: econ
11
The categories of this paper are: hep-lat
7
The categories of this paper are: hep-th
5
The categories of this paper are: gr-qc
24
The categories of this paper are: dg-ga
4
The categories of this paper are: cond-mat
32
The categories of this paper are: atom-ph
12
The categories of this paper are: nucl-th
21
The categories of this paper are: adap-org