Gromov positive scalar curvature conjecture and rationally inessential macroscopically large manifolds
Gromov positive scalar curvature conjecture and rationally inessential macroscopically large manifolds
We give the first examples of rationally inessential but macroscopically large manifolds. Our manifolds are counterexamples to the Dranishnikov rationality conjecture. For some of them we prove that they do not admit a metric of positive scalar curvature, thus satisfy the Gromov positive scalar curvature conjecture. Fundamental groups of our …