Cohomology of the Morava stabilizer group through the duality resolution at $n=p=2$ Institutional Repository Document uri icon

abstract

  • We compute the continuous cohomology of the Morava stabilizer group with coefficients in Morava $E$-theory, $H^*(mathbb{G}_2, E_t)$, at $p=2$, for $0leq t < 12$, using the Algebraic Duality Spectral Sequence. Furthermore, in that same range, we compute the $d_3$-differentials in the homotopy fixed point spectral sequence for the $K(2)$-local sphere spectrum. These cohomology groups and differentials play a central role in $K(2)$-local stable homotopy theory.

author list (cited authors)

  • Beaudry, A., Bobkova, I., Goerss, P. G., Henn, H., Pham, V., & Stojanoska, V.

citation count

  • 0

complete list of authors

  • Beaudry, Agnes||Bobkova, Irina||Goerss, Paul G||Henn, Hans-Werner||Pham, Viet-Cuong||Stojanoska, Vesna

Book Title

  • arXiv

publication date

  • October 2022