Baker, A. and Richter, B. (2014) Some properties of the Thom spectrum over loop suspension of complex projective space. Contemporary Mathematics, 617, pp. 1-12. (doi: 10.1090/conm/617)
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Publisher's URL: http://www.ams.org/books/conm/617/
Abstract
This note provides a reference for some properties of the Thom spectrum Mξ over ΩΣCP<sup>∞</sup>. Some of this material is used in recent work of Kitchloo and Morava. We determine the Mξ-cohomology of CP<sup>∞</sup> and show that Mξ∗ (CP<sup>∞</sup>) injects into power series over the algebra of non-symmetric functions. We show that Mξ gives rise to a commutative formal group law over the non-commutative ring π∗Mξ. We also discuss how Mξ and some real and quaternionic analogues behave with respect to spectra that are related to these Thom spectra by splittings and by maps.
| Item Type: | Articles |
|---|---|
| Additional Information: | Volume title: An Alpine Expedition through Algebraic Topology, ISBN 9780821891452. Papers presented at the Fourth Arolla Conference Algebraic Topology, Arolla, Switzerland, 20-25 August 2012. |
| Status: | Published |
| Refereed: | Yes |
| Glasgow Author(s) Enlighten ID: | Baker, Dr Andrew |
| Authors: | Baker, A., and Richter, B. |
| Subjects: | Q Science > QA Mathematics |
| College/School: | College of Science and Engineering > School of Mathematics and Statistics > Mathematics |
| Journal Name: | Contemporary Mathematics |
| Publisher: | American Mathematical Society |
| ISSN: | 0271-4132 |
| ISSN (Online): | 1098-3627 |
| Related URLs: |
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