Published July 2016
| Submitted
Book Section - Chapter
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Moduli Operad over F_1
- Creators
- Manin, Yuri I.
- Marcolli, Matilde
- Other:
- Thas, Koen
Abstract
In this paper we answer a question raised in [25], Sec. 4, by showing that the genus zero moduli operad {M_(0,n+1)} can be endowed with natural descent data that allow it to be considered as the lift to Spec Z of an operad over F_1. The relevant descent data are based on a notion of constructible sets and constructible functions over F_1, which describes suitable differences of torifications with a positivity condition on the class in the Grothendieck ring. More generally, we do the same for the operads {T_(d,n+1)} (whose components were) introduced in [5]. Finally, we describe a blueprint structure on {M_(0,n)} and we discuss from this perspective the genus zero boundary modular operad {M^0_(g,n+1)}.
Additional Information
© 2016 EMS Publishing House. The second author acknowledges support and hospitality of the Max Planck Institute and the Mathematical Sciences Research Institute and support from NSF grants DMS-0901221, DMS-1007207, DMS-1201512, PHY-1205440. We thank Paolo Aluffi, Tom Graber and Oliver Lorscheid for constructive criticism, useful comments and discussions.Attached Files
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Additional details
- Eprint ID
- 78999
- Resolver ID
- CaltechAUTHORS:20170712-091753130
- DMS-0901221
- NSF
- DMS-1201512
- NSF
- PHY-1205440
- NSF
- Created
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2017-07-12Created from EPrint's datestamp field
- Updated
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2021-11-15Created from EPrint's last_modified field