Latschev–Wendl's existence conjecture for higher-dimensional algebraic torsion

Let $k \ge 1$ and $n \ge 2$ be integers, and consider closed $(2n+1)$-dimensional contact manifolds, as well as algebraic torsion and untwisted algebraic torsion in that dimension. Latschev–Wendl's conjecture. For all integers $k \ge 1$ and $n \ge 2$, there exist infinitely many closed $(2n+1)$-dimensional contact manifolds with algebraic torsion $k$. There also exist $(2n+1)$-dimensional contact manifolds with (untwisted) algebraic torsion $k$ that admit stable symplectic fillings. The paper states that its methods confirm this conjecture, providing the asserted higher-dimensional examples and stable fillings; the result concerns the behavior of algebraic torsion beyond dimension three.