A decomposition formula for equivariant stable homotopy classes

Wacław Marzantowicz, Carlos Prieto

DOI: http://dx.doi.org/10.12775/TMNA.2009.018

Abstract


For any compact Lie group $G$, we give a decomposition
of the group $\{X,Y\}_G^k$ of (unpointed) stable $G$-homotopy
classes as a direct sum of subgroups of fixed orbit types.
This is done by interpreting the $G$-homotopy classes
in terms of the generalized fixed-point transfer
and making use of conormal maps.

Keywords


Equivariant stable homotopy groups; equivariant fixed-point transfer

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