2 problems

For each $k=2,3,4,\dots$, let $W_{2k}\in\mathsf{FG}_1^{2k\text{-loop}}(0)$ be the cycle described in the preceding lemma, which states that $W_{2k}$ is non-zero and satisfies…

Morita's conjecture. The Morita homology classes $[\mu_k]\in H\bigl(\mathsf{FG}_0^{2k+2}(0)\bigr)$ are non-trivial for every $k\geq 1$. These classes are part of an infinite family…