Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Algebraic and Giroux torsion in higher-dimensional contact manifolds   We construct examples in any odd dimension of contact manifolds with finite
and non-zero algebraic torsion (in the sense of Latschev-Wendl), which are
therefore tight and do not admit strong symplectic fillings. We prove that
Giroux torsion implies algebraic $1$-torsion in any odd dimension, which proves
a conjecture by Massot-Niederkrueger-Wendl. These results are part of the
author's PhD thesis.

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The categories of this paper are: econ
3
The categories of this paper are: physics
31
The categories of this paper are: ao-sci
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The categories of this paper are: alg-geom
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The categories of this paper are: q-fin
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The categories of this paper are: stat
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The categories of this paper are: nlin
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The categories of this paper are: chao-dyn
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The categories of this paper are: funct-an
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The categories of this paper are: atom-ph
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The categories of this paper are: adap-org
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The categories of this paper are: q-bio
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The categories of this paper are: cs
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The categories of this paper are: patt-sol
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The categories of this paper are: cond-mat
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The categories of this paper are: mtrl-th