Conférence Moshé Flato 1999 2000
DOI: 10.1007/978-94-015-1276-3_23
|View full text |Cite
|
Sign up to set email alerts
|

Homotopy Gerstenhaber algebras

Abstract: The goal of this paper is to complete Getzler-Jones' proof of Deligne's Conjecture, thereby establishing an explicit relationship between the geometry of configurations of points in the plane and the Hochschild complex of an associative algebra. More concretely, it is shown that the B∞-operad, which is generated by multilinear operations known to act on the Hochschild complex, is a quotient of a certain operad associated to the compactified configuration spaces. Different notions of homotopy Gerstenhaber algeb… Show more

Help me understand this report

Search citation statements

Order By: Relevance

Paper Sections

Select...
2
1
1
1

Citation Types

3
106
0
3

Year Published

2004
2004
2018
2018

Publication Types

Select...
6
3

Relationship

0
9

Authors

Journals

citations
Cited by 86 publications
(112 citation statements)
references
References 16 publications
3
106
0
3
Order By: Relevance
“…which inherits the invariance of E i, • E j,k under cyclic permutations of i, j, k. Hence vanishes on the relation (10). For the other relation, on the one hand…”
Section: Definition On Generatorsmentioning
confidence: 91%
See 1 more Smart Citation
“…which inherits the invariance of E i, • E j,k under cyclic permutations of i, j, k. Hence vanishes on the relation (10). For the other relation, on the one hand…”
Section: Definition On Generatorsmentioning
confidence: 91%
“…The Bessel operad may be seen as an analog of the Gerstenhaber operad [10], which is the suspension of an operad defined by a distributive law between the suspended commutative operad and the Lie operad. Unlike the Gerstenhaber operad, the Bessel operad has a simple combinatorial basis, given explicitly by forests of leaf-labeled rooted binary trees.…”
Section: Introductionmentioning
confidence: 99%
“…Over ‫ޚ‬ this result is due to J E McClure and J H Smith [18; 19], and to M Kontsevich and Ya Soibelman [15], see also the proof of C Berger and B Fresse [1], which appeared later. In characteristic zero there are several proofs; see for example M Kontsevich [14], D E Tamarkin [23; 24] and A A Voronov [28]. This result implies that in Hochschild cohomology one can define the same homological operations as for double loop spaces.…”
Section: Homology Operationsmentioning
confidence: 99%
“…Affirmative answers for differential graded algebras in characteristic 0 have been found by Kontsevich and Soibelman [11], Tamarkin [15;16] and Voronov [19]. A more general proof, which also applies to associative ring spectra is due to McClure and Smith [14].…”
Section: P43; 18d50mentioning
confidence: 84%