Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Non-fillable invariant contact structures on principal circle bundles
  and left-handed twists   We define symplectic fractional twists, which generalize Dehn twists, and use
these in open books to investigate contact structures. The resulting contact
structures are invariant under a circle action, and share several similarities
with the invariant contact structures that were studied by Lutz and Giroux. We
show that left-handed fractional twists often give rise to non-fillable contact
manifolds. These manifolds are in fact "algebraically overtwisted", yet they do
not seem to contain bLobs, nor are they directly related to negative
stabilizations. We also show that the Weinstein conjecture holds for the
non-fillable contact manifolds we construct, and we investigate the symplectic
isotopy problem for fractional twists.

13
The categories of this paper are: quant-ph
25
The categories of this paper are: patt-sol
34
The categories of this paper are: chem-ph
1
The categories of this paper are: cs
35
The categories of this paper are: mtrl-th
21
The categories of this paper are: adap-org
36
The categories of this paper are: cmp-lg
37
The categories of this paper are: supr-con
8
The categories of this paper are: hep-ex
33
The categories of this paper are: plasm-ph
18
The categories of this paper are: econ
6
The categories of this paper are: astro-ph
29
The categories of this paper are: funct-an
15
The categories of this paper are: nucl-ex
27
The categories of this paper are: comp-gas
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The categories of this paper are: stat