Double quasi-poisson algebras are Pre-Calabi-Yau

Fernandez D, Herscovich E (2021)
International Mathematics Research Notices: rnab115.

Zeitschriftenaufsatz | E-Veröff. vor dem Druck | Englisch
 
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Autor*in
Fernandez, DavidUniBi; Herscovich, Estanislao
Abstract / Bemerkung
In this article, we prove that double quasi-Poisson algebras, which are noncommutative analogues of quasi-Poisson manifolds, naturally give rise to pre-Calabi-Yau algebras. This extends one of the main results in [11], where a correspondence between certain pre-Calabi-Yau algebras and double Poisson algebras was found (see also [13, 12, 10]). However, a major difference between the pre-Calabi-Yau algebra constructed in the mentioned articles and the one constructed in this work is that the higher multiplications indexed by even integers of the underlying A(infinity)-algebra structure of the pre-Calabi-Yau algebra associated with double quasi-Poisson algebra do not vanish, but are given by nice cyclic expressions multiplied by explicitly determined coefficients involving the Bernoulli numbers.
Erscheinungsjahr
2021
Zeitschriftentitel
International Mathematics Research Notices
Art.-Nr.
rnab115
ISSN
1073-7928
eISSN
1687-0247
Page URI
https://pub.uni-bielefeld.de/record/2961629

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Fernandez D, Herscovich E. Double quasi-poisson algebras are Pre-Calabi-Yau. International Mathematics Research Notices. 2021: rnab115.
Fernandez, D., & Herscovich, E. (2021). Double quasi-poisson algebras are Pre-Calabi-Yau. International Mathematics Research Notices, rnab115. https://doi.org/10.1093/imrn/rnab115
Fernandez, D., and Herscovich, E. (2021). Double quasi-poisson algebras are Pre-Calabi-Yau. International Mathematics Research Notices:rnab115.
Fernandez, D., & Herscovich, E., 2021. Double quasi-poisson algebras are Pre-Calabi-Yau. International Mathematics Research Notices, : rnab115.
D. Fernandez and E. Herscovich, “Double quasi-poisson algebras are Pre-Calabi-Yau”, International Mathematics Research Notices, 2021, : rnab115.
Fernandez, D., Herscovich, E.: Double quasi-poisson algebras are Pre-Calabi-Yau. International Mathematics Research Notices. : rnab115 (2021).
Fernandez, David, and Herscovich, Estanislao. “Double quasi-poisson algebras are Pre-Calabi-Yau”. International Mathematics Research Notices (2021): rnab115.

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