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added this pointer:
added the statement that
the SU-bordism ring is spanned by classes of Calabi-Yau manifolds: in particular the K3 surface in degree 4 and certain CY 3-folds and CY4-folds in degrees 6 and 8.
Will give this statement its own little entry now (Calabi-Yau manifolds in SU-bordism theory), for ease of cross-linking in the entries K3 surface and Calabi-Yau manifold
added pointer to:
added these statements:
The kernel of the forgetful morphism
$\Omega^{SU}_\bullet \longrightarrow \Omega^{\mathrm{U}}_\bullet$from the SU-bordism ring to the complex bordism ring, is pure torsion.
Every torsion element in the SU-bordism ring $\Omega^{SU}_\bullet$ has order 2.
and this one:
The torsion subgroup of the SU-bordism ring is concentrated in degrees $8k+1$ and $8k+2$, for $k \in \mathbb{N}$.
added pointer to:
I have made explicit the corollary (here) that the image of the element $[K3]$ of $\Omega^{SU}_4$ is still non-trivial in $\Omega^{\mathrm{U}}_4$.
(This must be well-known, but I have trouble finding a reference that says it more directly. A half-sentence in Novikov 86, p. 216 (218 of 321) suggests this, without, however, really saying so, much less proving it.)
added pointer to:
for (the failure of) the Conner-Floyd isomorphism for $MSU \to KO$.
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