Zobrazeno 1 - 10 of 51 pro vyhledávání: '"Thomas Willwacher"'
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Akademický článek
Models for the n‐Swiss Cheese operads
Autor: Thomas Willwacher
Publikováno v: Transactions of the London Mathematical Society, Vol 8, Iss 1, Pp 186-205 (2021)
Abstract We describe combinatorial Hopf (co‐)operadic models for the Swiss Cheese operads built from Feynman diagrams. This extends previous work of Kontsevich and Lambrechts‐Volić for the little disks operads.
Externí odkaz: https://doaj.org/article/256639e20e044aea8673ac01bf67c3b9
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2
The Oriented Graph Complexes
Autor: Thomas Willwacher
The oriented graph complexes $${GC^{or}_n}$$ are complexes of directed graphs without directed cycles. They govern, for example, the quantization of Lie bialgebras and infinite dimensional deformation quantization. Similar to the ordinary graph compl
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::2eda9bac43a7d6809f923a6361858754
http://doc.rero.ch/record/331392/files/220_2014_Article_2168.pdf
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3
On the delooping of (framed) embedding spaces
Autor: Victor Turchin, Thomas Willwacher, Julien Ducoulombier
Publikováno v: Transactions of the American Mathematical Society
It is known that the bimodule derived mapping spaces between two operads have a delooping in terms of the operadic mapping space. We show a relative version of that statement. The result has applications to the spaces of disc embeddings fixed near th
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::37f7f308c1672711426a50918b76aa57
https://hdl.handle.net/21.11116/0000-0009-7871-121.11116/0000-0009-116E-921.11116/0000-0009-116C-B
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4
Classification of universal formality maps for quantizations of Lie bialgebras
Autor: Thomas Willwacher, Sergei Merkulov
Publikováno v: Compositio Mathematica, 156 (10)
We settle several questions about the theory of universal deformation quantization of Lie bialgebras by giving their complete classification up to homotopy equivalence. An important new technical ingredient introduced in this paper is an endofunctor
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::269bfaf6181794a15ac8ef9ec72e78ce
http://orbilu.uni.lu/handle/10993/27061
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5
Differentials on graph complexes II: hairy graphs
Autor: Marko Živković, Anton Khoroshkin, Thomas Willwacher
Publikováno v: Letters in Mathematical Physics, 107 (10)
Letters in Mathematical Physics, 107(10), 1781–1797. Dordrecht, The Netherlands: Springer Science & Business Media B.V (2017).
We study the cohomology of the hairy graph complexes which compute the rational homotopy of embedding spaces, generalizing the Vassiliev invariants of knot theory. We provide spectral sequences converging to zero whose first pages contain the hairy g
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::29531159803d9b78c559fd5643256982
https://doi.org/10.1007/s11005-017-0964-9
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6
Commutative hairy graphs and representations of Out (Fr)
Autor: Thomas Willwacher, Victor Turchin
Publikováno v: Journal of Topology. 10:386-411
We express the hairy graph complexes computing the rational homotopy groups of long embeddings (modulo immersions) of Rm in Rn as ‘decorated’ graph complexes associated to certain representations of the outer automorphism groups of free groups. T
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::205dcc6740ea3b5a189a53a7fdef56f1
https://doi.org/10.1112/topo.12009
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9
An explicit two step quantization of Poisson structures and Lie bialgebras
Autor: Thomas Willwacher, Sergei Merkulov
Publikováno v: Communications in Mathematical Physics, 364(2), 505–578. Germany: Springer (2018).
We develop a new approach to deformation quantizations of Lie bialgebras and Poisson structures which goes in two steps. In the first step one associates to any Poisson (resp. Lie bialgebra) structure a so called quantizable Poisson (resp. Lie bialge
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::ea754cc24689b4cf42156094c4023ce5
http://orbilu.uni.lu/handle/10993/28968
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10
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
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::b04d53505f22c4e408088dc3970e1779
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