Formality of Chain Operad of Little Discs

By D. Tamarkin. 2003

156 citations recorded by the source corpus.

Subfields: Algebra and Number Theory, Geometry and Topology, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/70f8f3f26b013664d5c7194d922b1d79124af13b

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In Algebra and Number Theory

In Geometry and Topology

In Mathematical Physics

Citations in the corpus

Operadic Twisting -- with an application to Deligne's conjecture (2012, background): “6], [21], [30], [31] imply that the dg operad Br is quasi-isomorphic to the dg operad C (E 2;K) of singular chains for the little disc operad E 2 . Combining this statement with the formality [20], [29] for the dg operad C (E 2;K), we conclude that the dg operad Br (as well as TwBT) is quasi-isomo”
M. Kontsevich’s graph complex and the Grothendieck–Teichmüller Lie algebra (2010, background): “Since C(t) is quasi-isomorphic to e2 (see [20]), the complex D has no cohomology in degree zero or lower already by degree reasons.”
Algebraic String Operations (2006, unknown): “The original associative case was also proved in [8,13,17, 18 ,22].”
Equivalence of formalities of the little discs operad (2009, methodology): “re Graphs is an auxiliary operad whose deﬁnition is recalled in section 3; more details about the proof are recalled in section 6.1. The second work we want to connect is another proof by D. Tamarkin [10] of the same result, i.e., the formality of C•(FM 2), however using quite diﬀerent methods. Usin”
Formality of the Little N-Disks Operad (2008, background): “One of the main results that we will prove in detail is Theorem 1.1 (Kontsevich; Tamarkin for N = 2).”
Supersymmetric gauge theory and the Yangian (2013, background): “re the same as En algebras. Thus, we see that the factorization algebra for the twist of the Yangian deformation, when restricted to the line z = 0, is an E 2 algebra. A well-known result of Tamarkin [Tam03] shows that there is a close relationship between E 2 algebras and Hopf algebras: the Koszul ”
Derived coisotropic structures II: stacks and quantization (2017, methodology): “ the operad of little n-disks). Suppose n≥2. Then one has an equivalence of graded Hopf dg operads BDn ∼=PnJ~K compatible with the equivalence BDn/~∼=Pn. The statement for n= 2 was proved by Tamarkin [Ta] using the existence of rational Drinfeld associators, by Kontsevich [Ko] and Lambrechts–Voli´c ”