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  Symmetries of genus zero modular operad

Combe, N. C., & Manin, Y. I. (2021). Symmetries of genus zero modular operad. In S. Novikov, I. Krichever, O. Ogievetsky, & S. Shlosman (Eds.), Integrability, quantization, and geometry: dedicatedto the memory of Boris Dubrovin, 1950-2019. Vol. II (pp. 101-109). Providence: American Mathematical Society.

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Item Permalink: https://hdl.handle.net/21.11116/0000-0008-A3B3-5 Version Permalink: https://hdl.handle.net/21.11116/0000-000E-2A29-6
Genre: Contribution to Collected Edition

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1907.10317.pdf (Preprint), 112KB
 
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https://doi.org/10.1090/pspum/103.2/01854 (Publisher version)
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https://doi.org/10.48550/arXiv.1907.10317 (Preprint)
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 Creators:
Combe, Noémie C.1, Author           
Manin, Yuri I.1, Author           
Affiliations:
1Max Planck Institute for Mathematics, Max Planck Society, ou_3029201              

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Free keywords: Mathematics, Algebraic Geometry
 Abstract: In this article combining survey and certain research results, we introduce a
categorical framework for description of symmetries of genus zero modular
operad. This description merges the techniques of recent "persistence homology"
studies and the classical formalism of groupoids. We show that the
contravariant "poset in groupoids" embodying these symmetries, provides a new
avatar of profinite Grothendieck-Teichm\"uller group acting upon this operad
but seemingly not related with representations of the Galois group of all
algebraic numbers.

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Language(s): eng - English
 Dates: 2021
 Publication Status: Issued
 Pages: -
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 Table of Contents: -
 Rev. Type: -
 Identifiers: arXiv: 1907.10317
 Degree: -

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Title: Integrability, quantization, and geometry : dedicatedto the memory of Boris Dubrovin, 1950-2019. Vol. II
Source Genre: Collected Edition
 Creator(s):
Novikov, Sergey, Editor
Krichever, Igor, Editor
Ogievetsky, Oleg, Editor
Shlosman, Senya, Editor
Affiliations:
-
Publ. Info: Providence : American Mathematical Society
Pages: - Volume / Issue: - Sequence Number: - Start / End Page: 101 - 109 Identifier: ISBN: 978-1-4704-5592-7
DOI: 10.1090/pspum/103.2/

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Title: Proceedings of symposia in pure mathematics
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Publ. Info: -
Pages: - Volume / Issue: 103, 2 Sequence Number: - Start / End Page: - Identifier: -