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- An \(E_{\infty}\) motivic \(2\)-cell complex and applications
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An \(E_{\infty}\) motivic \(2\)-cell complex and applications Gheorghe, Bogdan
Description
By work of Hu-Kriz-Ormsby, Isaksen exhibits a motivic \(2\)-cell complex that has bigraded homotopy groups isomorphic to the classical Adams-Novikov \( E_2 \)-page for the sphere \( S^0 \). We show how to endow this \(2\)-cell complex with an \( E_{\infty}\)-ring structure, upgrading this isomorphism to an isomorphism of highly structured rings. We then show how to exploit this \(2\)-cell to construct a spectrum which we call \(wBP\), whose homotopy is polynomial in the new periodic motivic operators \(w_i\) introduced by Michael Andrews et al.
Item Metadata
| Title |
An \(E_{\infty}\) motivic \(2\)-cell complex and applications
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| Creator | |
| Publisher |
Banff International Research Station for Mathematical Innovation and Discovery
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| Date Issued |
2016-05-23T16:33
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| Description |
By work of Hu-Kriz-Ormsby, Isaksen exhibits a motivic \(2\)-cell complex that has bigraded homotopy groups isomorphic to the classical Adams-Novikov \( E_2 \)-page for the sphere \( S^0 \). We show how to endow this \(2\)-cell complex with an \( E_{\infty}\)-ring structure, upgrading this isomorphism to an isomorphism of highly structured rings. We then show how to exploit this \(2\)-cell to construct a spectrum which we call \(wBP\), whose homotopy is polynomial in the new periodic motivic operators \(w_i\) introduced by Michael Andrews et al.
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| Extent |
48 minutes
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| Subject | |
| Type | |
| File Format |
video/mp4
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| Language |
eng
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| Notes |
Author affiliation: Wayne State University
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| Series | |
| Date Available |
2017-01-26
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| Provider |
Vancouver : University of British Columbia Library
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| Rights |
Attribution-NonCommercial-NoDerivatives 4.0 International
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| DOI |
10.14288/1.0339873
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| URI | |
| Affiliation | |
| Peer Review Status |
Unreviewed
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| Scholarly Level |
Graduate
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| Rights URI | |
| Aggregated Source Repository |
DSpace
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Rights
Attribution-NonCommercial-NoDerivatives 4.0 International