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arXiv · 1903.11880

Algebraic and Giroux torsion in higher-dimensional contact manifolds

Agustin Moreno
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Abstract

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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Agustin Moreno. 2019-03-28. Algebraic and Giroux torsion in higher-dimensional contact manifolds. https://doi.org/10.2140/agt.2024.24.3199

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