On homology of the $MSU$ spectrum

Abstract: We give a complete proof the Novikov isomorphism

v a r O m e g a^{S U} o t i m e s m a t h b b Z [e x t s t y l e f r a c 12] c o n g m a t h b b Z [e x t s t y l e f r a c 12] [y_{2}, y_{3}, l d o t s], q u a d m a t h r m d e g y_{i} = 2 i

, where

v a r O m e g a^{S U}

is the

S U

-bordism ring. The proof uses the Adams spectral sequence and a description of the comodule structure of

H_{*} (M S U; m a t h b b F_{p})

over the dual Steenrod algebra

m a t h f r a k A_{p}^{*}

with odd prime

p

, which was also missing in the literature.

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