Ando, M. and Greenlees, J.P.C.
(2007)
*Circle-equivariant classifying spaces and the rational equivariant sigma genus.*
arXiv.
(Unpublished)

## 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 |
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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: | 29 Nov 2015 05:43 |

Published Version: | http://arxiv.org/abs/0705.2687v1 |

Status: | Unpublished |

Related URLs: | |

URI: | http://eprints.whiterose.ac.uk/id/eprint/7803 |