SU-линейные операции в комплексных кобордизмах и теория c1-сферических бордизмов
We study the SU-linear operations in complex cobordism and prove that they are generated by the well-known geometric operations ∂i. For the theory W of c1-spherical bordism, we describe all SU-linear multiplications on W and projections MU→W. We also analyse complex orientations on W and the corresponding formal group laws FW. The relationship between the formal group laws FW and the coefficient ring W∗ of the W-theory was studied by Buchstaber in 1972. We extend his results by showing that for any SU-linear multiplication and orientation on W, the coefficients of the corresponding formal group law FW do not generate the ring W∗, unlike the situation with complex bordism.