Zobrazeno 1 - 10 of 49 pro vyhledávání: '"Benoit Fresse"'
2
Iterated bar complexes andEn-homology with coefficients
Autor: Benoit Fresse, Stephanie Ziegenhagen
Publikováno v: Journal of Pure and Applied Algebra. 220:683-710
The first author proved in a previous paper that the n-fold bar construction for commutative algebras can be generalized to E n -algebras, and that one can calculate E n -homology with trivial coefficients via this iterated bar construction. We exten
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https://doi.org/10.1016/j.jpaa.2015.07.012
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3
The extended rational homotopy theory of operads
Autor: Benoit Fresse
In this paper, we set up a rational homotopy theory for operads in simplicial sets whose term of arity one is not necessarily reduced to an operadic unit, extending results obtained by the author in the book "Homotopy of operads and Grothendieck-Teic
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4
The homotopy theory of operad subcategories
Autor: Benoit Fresse, Victor Turchin, Thomas Willwacher
Publikováno v: Journal of Homotopy and Related Structures
We study the subcategory of topological operads $P$ such that $P(0) = *$ (the category of unitary operads in our terminology). We use that this category inherits a model structure, like the category of all operads in topological spaces, and that the
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5
Elektronická kniha
Homotopy of Operads and Grothendieck–Teichmüller Groups
Autor: Benoit Fresse
The Grothendieck–Teichmüller group was defined by Drinfeld in quantum group theory with insights coming from the Grothendieck program in Galois theory. The ultimate goal of this book is to explain that this group has a topological interpretation a
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6
On mapping spaces of differential graded operads with the commutative operad as target
Autor: Benoit Fresse
Publikováno v: Mathematical Research Letters. 18:215-230
The category of differential graded operads is a cofibrantly generated model category and as such inherits simplicial mapping spaces. The vertices of an operad mapping space are just operad morphisms. The 1-simplices represent homotopies between morp
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https://doi.org/10.4310/mrl.2011.v18.n2.a3
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8
The cotriple resolution of differential graded algebras
Autor: Benoit Fresse
We consider the cotriple resolution of algebras over operads in differential graded modules. We focus, to be more precise, on the example of algebras over the differential graded Barratt-Eccles operad and on the example of commutative alegbras. We pr
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9
The intrinsic formality of $E_n$-operads
Autor: Benoit Fresse, Thomas Willwacher
Publikováno v: Journal of the European Mathematical Society, 22 (7)
Journal of the European Mathematical Society
We establish that E-n-operads satisfy a rational intrinsic formality theorem for n >= 3. We get our results in the category of Hopf cooperads in cochain graded dg-modules which defines a model for the rational homotopy of operads in spaces. We consid
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