Zobrazeno 1 - 10
of 41
pro vyhledávání: '"Bruno Vallette"'
Publikováno v:
International Mathematics Research Notices. 2021:3866-3926
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
Autor:
Bruno Vallette
Publikováno v:
Annales de l'Institut Fourier. 70:683-738
This paper studies the homotopy theory of algebras and homotopy algebras over an operad. It provides an exhaustive description of their higher homotopical properties using the more general notion of morphisms called infinity-morphisms. The method con
Covering an exceptional range of topics, this text provides a unique overview of the Maurer—Cartan methods in algebra, geometry, topology, and mathematical physics. It offers a new conceptual treatment of the twisting procedure, guiding the reader
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:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::0c26a7db52883e99c1305db1a82daa8f
https://hal.archives-ouvertes.fr/hal-02378812
https://hal.archives-ouvertes.fr/hal-02378812
Autor:
Bruno Vallette, Clément Dupont
Publikováno v:
Geom. Topol. 21, no. 5 (2017), 2811-2850
Geometry and Topology
Geometry and Topology, Mathematical Sciences Publishers, 2017, 21 (5), pp.2811-2850. 〈10.2140/gt.2017.21.2811〉
Geometry and Topology, Mathematical Sciences Publishers, 2017, 21 (5), pp.2811-2850. ⟨10.2140/gt.2017.21.2811⟩
Geometry & Topology
Geometry and Topology
Geometry and Topology, Mathematical Sciences Publishers, 2017, 21 (5), pp.2811-2850. 〈10.2140/gt.2017.21.2811〉
Geometry and Topology, Mathematical Sciences Publishers, 2017, 21 (5), pp.2811-2850. ⟨10.2140/gt.2017.21.2811⟩
Geometry & Topology
This paper is built on the following observation: the purity of the mixed Hodge structure on the cohomology of Brown's moduli spaces is essentially equivalent to the freeness of the dihedral operad underlying the gravity operad. We prove these two fa
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::64da06d15e31e946732c22ae7b42e62e
https://projecteuclid.org/euclid.gt/1510859275
https://projecteuclid.org/euclid.gt/1510859275
Publikováno v:
Moscow Mathematical Journal
Moscow Mathematical Journal, Independent University of Moscow 2016, July-September 2016, 16 (3), pp.505-543. ⟨10.17323/1609-4514-2016-16-3-505-543⟩
Scopus-Elsevier
Moscow Mathematical Journal, 16(3), 505-543. Independent University of Moscow
Moscow Mathematical Journal, Independent University of Moscow 2016, July-September 2016, 16 (3), pp.505-543. ⟨10.17323/1609-4514-2016-16-3-505-543⟩
Scopus-Elsevier
Moscow Mathematical Journal, 16(3), 505-543. Independent University of Moscow
In this paper, we develop the deformation theory controlled by pre-Lie algebras; the main tool is a new integration theory for pre-Lie algebras. The main field of application lies in homotopy algebra structures over a Koszul operad; in this case, we
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::4ce29bd2203ef9db4d2d3b357c25096c
https://hal.archives-ouvertes.fr/hal-01142685
https://hal.archives-ouvertes.fr/hal-01142685
Autor:
Bruno Vallette
Publikováno v:
Transactions of the American Mathematical Society
Transactions of the American Mathematical Society, American Mathematical Society, 2007, 359 (10), pp.4865-4943. ⟨10.1090/S0002-9947-07-04182-7⟩
Transactions of the American Mathematical Society, American Mathematical Society, 2007, 359 (10), pp.4865-4943. ⟨10.1090/S0002-9947-07-04182-7⟩
The notion of prop models the operations with multiple inputs and multiple outpus, acting on some algebraic structures like the bialgebras or the Lie bialgebras. In this paper, we generalize the Koszul duality theory of associative algebras and opera
Autor:
Bruno Vallette
Publikováno v:
Journal of Pure and Applied Algebra. 208(2):699-725
We define a poset of partitions associated to an operad. We prove that the operad is Koszul if and only if the poset is Cohen-Macaulay. In one hand, this characterisation allows us to compute the homology of the poset. This homology is given by the K
Autor:
Malte Dehling, Bruno Vallette
The purpose of this foundational paper is to introduce various notions and constructions in order to develop the homotopy theory for differential graded operads over any ring. The main new idea is to consider the action of the symmetric groups as par
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::238049ba6a4ecfc802d90253bbe0f6ba
http://arxiv.org/abs/1503.02701
http://arxiv.org/abs/1503.02701
Publikováno v:
Journal of the European Mathematical Society, 17(3), 535-547. European Mathematical Society Publishing House
Journal of the European Mathematical Society
Journal of the European Mathematical Society, European Mathematical Society, 2015, 13 p. ⟨10.4171/JEMS/510⟩
Journal of the European Mathematical Society
Journal of the European Mathematical Society, European Mathematical Society, 2015, 13 p. ⟨10.4171/JEMS/510⟩
We endow the de Rham cohomology of any Poisson or Jacobi manifold with a natural homotopy Frobenius manifold structure. This result relies on a minimal model theorem for multicomplexes and a new kind of a Hodge degeneration condition.
11 pages,
11 pages,
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::1fceb848f70593f1e7cfea5750ddaa88
https://dare.uva.nl/personal/pure/en/publications/de-rham-cohomology-and-homotopy-frobenius-manifolds(ec8b256f-46df-44a2-815b-a10a1d58642f).html
https://dare.uva.nl/personal/pure/en/publications/de-rham-cohomology-and-homotopy-frobenius-manifolds(ec8b256f-46df-44a2-815b-a10a1d58642f).html