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Additivity theorem for Poisson algebras Safronov, Pavel
Description
The Dunn--Lurie additivity theorem states that an algebra with $n$ compatible multiplications is the same as an algebra over the operad of little $n$-disks, i.e. an $E_n$-algebra. I will describe a similar statement for shifted Poisson algebras. Namely, an $E_n$-algebra in the category of $m$-shifted Poisson algebras is the same as an $(n+m)$-shifted Poisson algebra. I will explain motivitations for such a result coming from mathematical physics and derived Poisson geometry.
Item Metadata
| Title |
Additivity theorem for Poisson algebras
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| Creator | |
| Publisher |
Banff International Research Station for Mathematical Innovation and Discovery
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| Date Issued |
2018-05-09T11:31
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| Description |
The Dunn--Lurie additivity theorem states that an algebra with $n$ compatible multiplications is the same as an algebra over the operad of little $n$-disks, i.e. an $E_n$-algebra. I will describe a similar statement for shifted Poisson algebras. Namely, an $E_n$-algebra in the category of $m$-shifted Poisson algebras is the same as an $(n+m)$-shifted Poisson algebra. I will explain motivitations for such a result coming from mathematical physics and derived Poisson geometry.
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| Extent |
61.0
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| Subject | |
| Type | |
| File Format |
video/mp4
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| Language |
eng
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| Notes |
Author affiliation: University of Zürich
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| Series | |
| Date Available |
2019-03-24
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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 |
10.14288/1.0377433
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| URI | |
| Affiliation | |
| Peer Review Status |
Unreviewed
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| Scholarly Level |
Postdoctoral
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| Rights URI | |
| Aggregated Source Repository |
DSpace
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Rights
Attribution-NonCommercial-NoDerivatives 4.0 International