Weight 2 cohomology of graph complexes of cyclic operads and the handlebody group

Michael Borinsky, Benjamin Brück, Thomas Willwacher

We compute the weight 2 cohomology of the Feynman transforms of the cyclic (co)operads $\mathsf{BV}$ and $\mathsf{HyCom}$, and the top$-2$ weight cohomology of the Feynman transfor…