Algebraic and Giroux torsion in higher-dimensional contact manifolds

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.

55 pages

References in corpus (3)

• Finite-energy pseudoholomorphic planes with multiple asymptotic limits
• Spectral order for contact manifolds with convex boundary
• SFT computations and intersection theory in higher-dimensional contact manifolds