Abstract:
We describe the cohomological structure of the sequence of Heisenberg nilmanifolds $M^{2n-1}_H \rightarrow M^{2n+1}_H$, $n=1,\,2,\dots$, in terms of bigraded symplectic structures on the tori $T^{2n}$, the corresponding ${\mathfrak s \mathfrak l}_2$-representations on the cohomology of $T^{2n}$, and the Buchstaber spectral sequence (Bss).