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Circle-equivariant classifying spaces and the rational equivariant sigma genus

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 (Unpublished)

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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
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
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Status: Unpublished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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