Towards a solution on the geography-problem of non-formal contact manifolds
Christoph Bock · arXiv (Cornell University) · 2021
Let $(m,b)$ be a pair of natural numbers. For $m$ odd with $m \ge 7$ (resp. $m \ge 13$) and $b=1$ (resp. $b=0$) we show that there is a non-formal compact contact $m$-manifold with first Betti number $b_1 = b$. Moreover, in the case $b=0$, the manifold even is simply-connected.