Geodesic
Landweber Exactness of the Formal Group Law in $c_1$-Spherical Bordism
Matematičeskie zametki, Tome 113 (2023) no. 6, pp. 918-928.

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We describe the structure of the coefficient ring $W^*(pt)=\varOmega_W^*$ of the $c_1$-spherical bordism theory for an arbitrary $SU$-bilinear multiplication. We prove that for any $SU$-bilinear multiplication the formal group of the theory $W^*$ is Landweber exact. Also we show that after inverting the set $\mathcal{P}$ of Fermat primes there exists a complex orientation of the localized theory $W^*[\mathcal{P}^{-1}]$ such that the coefficients of the corresponding formal group law generate the whole coefficient ring $\varOmega_W^*[\mathcal{P}^{-1}]$.
Keywords: $c_1$-spherical bordism, formal group laws, Landweber exactness. 
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G. S. Chernykh. Landweber Exactness of the Formal Group Law in $c_1$-Spherical Bordism. Matematičeskie zametki, Tome 113 (2023) no. 6, pp. 918-928. http://geodesic.mathdoc.fr/item/MZM_2023_113_6_a10/

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