Tamarkin's proof of Kontsevich formality theorem
By V. Hinich. 2000
100 citations recorded by the source corpus.
In 1998 D. Tamarkin announced a proof of Kontsevich formality theorem based on the existence of structure of homotopy Gerstenhaber algebra in the Hochschild cochains of an associative algebra. In this note we give a detailed explanation of Tamarkin's result.
Subfields: Algebra and Number Theory, Geometry and Topology, Mathematical Physics
View Paper: https://www.semanticscholar.org/paper/b92df7a4a2aa15684a082a38f23fa57776dc4175
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In Algebra and Number Theory
- Thomas Willwacher
- Vasily A. Dolgushev
- G. Giachetta
- D. Guin
- Jean-Michel Oudom
- Martin Markl
- G. Sardanashvily
- D. Borisov
In Geometry and Topology
- Thomas Willwacher
- Vasily A. Dolgushev
- G. Giachetta
- D. Guin
- Jean-Michel Oudom
- Martin Markl
- G. Sardanashvily
- D. Borisov
In Mathematical Physics
- Thomas Willwacher
- Vasily A. Dolgushev
- G. Giachetta
- D. Guin
- Jean-Michel Oudom
- Martin Markl
- G. Sardanashvily
- D. Borisov
Citations in the corpus
- Operadic Twisting -- with an application to Deligne's conjecture (2012, background): “Let us recall from [14], [15], [18] that Ger∞ := Cobar(Ger ∨) , where Ger∨ is the cooperad Koszul dual to Ger.”
- M. Kontsevich’s graph complex and the Grothendieck–Teichmüller Lie algebra (2010, background): “ion. M. Kontsevich originally proved his Formality Theorem by writing down an explicit formula, involving certain hard-to-compute configuration space integrals. D. Tamarkin later gave a different proof [41, 22] as follows. First, one endows Dpoly with a hoe2 structure, whose hoLie2 part agrees with th”
- Operads and PROPs (2006, background): “an product on the free loop space of a smooth manifold [13], see also [14]. Tamarkin’s proof of the formality of Hochschild cochains of the algebra of functions on smooth manifolds [110] explained in [40] uses obstruction theory for operad algebras and the affirmative answer to the Deligne conjecture ”
- On the Lie envelopping algebra of a pre-Lie algebra (2004, methodology): “This will lead us to an already known fact that was used by Tamarkin in his proof of the Kontsevich formality theorem [21] [ 11 ] : any brace algebra structure on a vector space extends to a B∞algebra one.”
- What is geometry in quantum theory (2004, methodology): “[51] V.”