Hisham Sati, Geometric and topological structures related to M-branes ,
part I, Proc. Symp. Pure Math. 81 (2010), 181-236 (arXiv:1001.5020),
part II: Twisted and structures, J. Australian Math. Soc. 90 (2011), 93-108 (arXiv:1007.5419);
part III: Twisted higher structures, Int. J. Geom. Meth. Mod. Phys. 8 (2011), 1097-1116 (arXiv:1008.1755)
Hisham Sati, Craig Westerland, Twisted Morava K-theory and E-theory (arXiv:1109.3867)