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Real Structures and Morava K-Theories
Authors:Nitu Kitchloo and Gerd Laures
Institution:(1) Department of Mathematics, Northwestern University, 2033 Sheridan Road, Evanston, IL, 60208-2730, U.S.A.;(2) Mathematisches Institut der Universit"at Heidelberg, Im Neuenheimer Feld 288, D-69120 Heidelberg, Germany
Abstract:We show that real k-structures coincide for kthinsp=thinsp1,2 on all formal groups for which multiplication by 2 is an epimorphism. This enables us to give explicit polynomial generators for the Morava K(n)-homology of BSpin and BSO for nthinsp=thinsp1,2.
Keywords:Morava K-theory  formal group law  Rothenberg–  Steenrod spectral sequence
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