Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the construction of certain 6-dimensional symplectic manifolds with
  Hamiltonian circle actions   Let $(M, \omega)$ be a connected, compact 6-dimensional symplectic manifold
equipped with a semi-free Hamiltonian $S^1$ action such that the fixed point
set consists of isolated points or surfaces. Assume dim $H^2(M)<3$, in
\cite{L}, we defined a certain invariant of such spaces which consists of fixed
point data and twist type, and we divided the possible values of these
invariants into six ``types''. In this paper, we construct such manifolds with
these ``types''. As a consequence, we have a precise list of the values of
these invariants.

6
The categories of this paper are: astro-ph
26
The categories of this paper are: bayes-an
20
The categories of this paper are: acc-phys
4
The categories of this paper are: cond-mat
12
The categories of this paper are: nucl-th
35
The categories of this paper are: mtrl-th
8
The categories of this paper are: hep-ex
30
The categories of this paper are: q-alg
25
The categories of this paper are: patt-sol
0
The categories of this paper are: hep-ph
34
The categories of this paper are: chem-ph
33
The categories of this paper are: plasm-ph
11
The categories of this paper are: hep-lat
10
The categories of this paper are: q-bio
28
The categories of this paper are: alg-geom
19
The categories of this paper are: eess