Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A combinatorial proof of the homology cobordism classification of lens
  spaces   It follows implicitly from recent work in Heegaard Floer theory that lens
spaces are homology cobordant exactly when they are oriented homeomorphic. We
provide a new combinatorial proof using the Heegaard Floer d-invariants, which
themselves may be defined combinatorially for lens spaces.

16
The categories of this paper are: stat
4
The categories of this paper are: cond-mat
25
The categories of this paper are: patt-sol
35
The categories of this paper are: mtrl-th
22
The categories of this paper are: chao-dyn
24
The categories of this paper are: dg-ga
11
The categories of this paper are: hep-lat
18
The categories of this paper are: econ
37
The categories of this paper are: supr-con
15
The categories of this paper are: nucl-ex
28
The categories of this paper are: alg-geom
17
The categories of this paper are: q-fin
26
The categories of this paper are: bayes-an
13
The categories of this paper are: quant-ph
9
The categories of this paper are: nlin
6
The categories of this paper are: astro-ph