Ando, M. and Greenlees, J.P.C. (2007) Circle-equivariant classifying spaces and the rational equivariant sigma genus. arXiv. (Unpublished)
Full text available as:Abstract
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.
| Item Type: | Article |
|---|---|
| Copyright, Publisher and Additional Information: | Imported for arXiv |
| 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: | 08 Feb 2013 16:57 |
| Published Version: | http://arxiv.org/abs/0705.2687v1 |
| Status: | Unpublished |
| Related URLs: | |
| URI: | http://eprints.whiterose.ac.uk/id/eprint/7803 |
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