Circle-equivariant Classifying Spaces and the Rational Equivariant Sigma Genus
نویسنده
چکیده
We analyze the circle-equivariant spectrum MStringC which is the equivariant analogue of the cobordism spectrum MU〈6〉 of stably almost complex manifolds with c1 = c2 = 0. In [Gre05], the second author showed how to construct the ring T-spectrum EC representing the T-equivariant elliptic cohomology associated to a rational elliptic curve C. In the case that C is a complex elliptic curve, we construct a map of ring T-spectra MStringC → EC which is the rational equivariant analogue of the sigma orientation of [AHS01]. Our method gives a proof of a conjecture of the first author in [And03b].
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