Zobrazeno 1 - 10
of 110
pro vyhledávání: '"Vallette, Bruno"'
Publikováno v:
London Math. Soc. Lecture Note Ser., 488 Cambridge University Press, Cambridge, 2024, viii+177 pp
This monograph provides an overview on the Maurer-Cartan methods in algebra, geometry, topology, and mathematical physics. It offers a conceptual, exhaustive and gentle treatment of the twisting procedure, which functorially creates new differential
Externí odkaz:
http://arxiv.org/abs/2212.11323
Autor:
Leray, Johan, Vallette, Bruno
We prove that the notion of a curved pre-Calabi--Yau algebra is equivalent to the notion of a curved homotopy double Poisson gebra, thereby settling the equivalence between the two ways to define derived noncommutative Poisson structures. We actually
Externí odkaz:
http://arxiv.org/abs/2203.05062
Autor:
Robert-Nicoud, Daniel, Vallette, Bruno
We present a novel approach to the problem of integrating homotopy Lie algebras by representing the Maurer-Cartan space functor with a universal cosimplicial object. This recovers Getzler's original functor but allows us to prove the existence of add
Externí odkaz:
http://arxiv.org/abs/2010.10485
Publikováno v:
J. Reine Angew. Math. 809 (2024), 91-157
We develop the deformation theory of cohomological field theories (CohFTs), which is done as a special case of a general deformation theory of morphisms of modular operads. This leads us to introduce two new natural extensions of the notion of a CohF
Externí odkaz:
http://arxiv.org/abs/2006.01649
In this paper, we initiate the generalisation of the operadic calculus which governs the properties of homotopy algebras to a properadic calculus which governs the properties of homotopy gebras over a properad. In this first article of a series, we g
Externí odkaz:
http://arxiv.org/abs/1910.05027
This paper introduces a new method to solve the problem of the approximation of the diagonal for face-coherent families of polytopes. We recover the classical cases of the simplices and the cubes and we solve it for the associahedra, also known as St
Externí odkaz:
http://arxiv.org/abs/1902.08059
Autor:
Manin, Yuri I., Vallette, Bruno
The notion of 2--monoidal category used here was introduced by B.~Vallette in 2007 for applications in the operadic context. The starting point for this article was a remark by Yu. Manin that in the category of quadratic algebras (that is, "quantum l
Externí odkaz:
http://arxiv.org/abs/1902.03778
This paper provides a conceptual study of the twisting procedure, which amounts to create functorially new differential graded Lie algebras, associative algebras or operads (as well as their homotopy versions) from a Maurer--Cartan element. On the wa
Externí odkaz:
http://arxiv.org/abs/1810.02941
Akademický článek
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Publikováno v:
J. Topol. 12 (2019), no. 2, 463-535
We introduce and study several new topological operads that should be regarded as nonsymmetric analogues of the operads of little 2-disks, framed little 2-disks, and Deligne-Mumford compactifications of moduli spaces of genus zero curves with marked
Externí odkaz:
http://arxiv.org/abs/1510.03261