Ando, M. and Greenlees, J.P.C. (2007) Circle-equivariant classifying spaces and the rational equivariant sigma genus. arXiv. (Unpublished)
We analyze the circle-equivariant spectrum MString_C which is the equivariant analogue of the cobordism spectrum MU<6> of stably almost complex manifolds with c_1=c_2=0. The second author has shown how to construct the ring T-spectrum EJ representing the T-equivariant elliptic cohomology associated to a rational elliptic curve J. In the case that J is a complex elliptic curve, we construct a map of ring T-spectra MString_C --> EJ which is the rational equivariant analogue of the sigma orientation of Ando-Hopkins-Strickland. Our method gives a proof of a conjecture of the first author.
|Copyright, Publisher and Additional Information:||Imported for arXiv|
|Institution:||The University of Sheffield|
|Academic Units:||The University of Sheffield > Faculty of Science (Sheffield) > School of Mathematics and Statistics (Sheffield)|
|Depositing User:||Beccy Shipman|
|Date Deposited:||04 Mar 2009 17:20|
|Last Modified:||28 Jun 2014 04:03|