Advanced search
Publication Cover
Communications in Algebra Volume 33, 2005 - Issue 10
Submit an article Journal homepage
50
Views
1
CrossRef citations to date
0
Altmetric
Original Articles

G∞-Formality Theorem in Terms of Graphs and Associated Chevalley–Eilenberg–Harrison CohomologyFootnote#

Angela Gammella Institut de Recherche Mathématique Avancée de Strasbourg, Université Louis Pasteur et CNRS, Strasbourg, France
&
Gilles Halbout Institut de Recherche Mathématique Avancée de Strasbourg, Université Louis Pasteur et CNRS, Strasbourg, FranceCorrespondence[email protected]
Pages 3515-3528 | Received 15 May 2003, Accepted 12 Mar 2005, Published online: 03 Sep 2006

REFERENCES

  • Arnal , D. , Masmoudi , M. ( 2002 ). Cohomologie de hochschild des graphes de kontsevich . Bull. Soc. Math. France 130 ( 1 ): 49 – 69 .
  • Bayen , F. , Flato , M. , Fronsdal , C. , Lichnerowicz , A. , Sternheimer , D. (1975/77 ). Quantum mechanics as a deformation of classical mechanics . Lett. Math. Phys . 1 ( 6 ): 521 – 530 . [CSA] [CROSSREF]
  • Deligne , P. ( 1993 ). Letter to Stasheff . Drinfeld : Gerstenhaber May Schechtman .
  • Etingof , P. , Kazhdan , D. ( 1998 ). Quantization of Lie bialgebras I . Selecta Math. N.S. 2 ( 1 ): 1 – 41 , ( 1996 ). Quantization of Lie bialgebras II . Selecta Math. N.S. 4 ( 2 ): 213 – 231 , 233 – 269 . [CSA] [CROSSREF]
  • Gerstenhaber , M. , Voronov , A. ( 1995 ). Homotopy G-algebras and moduli space operad . Internat. Math. Res. Notices 3 : 141 – 153 . [CSA] [CROSSREF]
  • Ginot , G. (2004). Homologie et modèle minimal des algèbres de Gerstenhaber. Ann. Math. Blaise Pascal 11(1):95–127. [CSA]
  • Ginot , G. , Halbout , G. ( 2003 ). Formality theorem for Poisson manifolds . Lett. Math. Phys. 66 ( 1-2 ): 37 – 64 . [CSA] [CROSSREF]
  • Kontsevich , M. ( 1993 ). Formal (non)commutative symplectic geometry . he Gel'fand Mathematical Seminars, 1990–1992 , Boston , MA : Birkhäuser Boston , pp. 173 – 187 .
  • Kontsevich , M. ( 1994 ). Feynman diagrams and low-dimensional topology In: First European Congress of Mathematics . Vol. II . ( Paris, 1992 ), Progr. Math. , 120 . Basel : Birkhäuser, pp. 97 – 121 .
  • Kontsevich , M. ( 2003 ). Deformation quantization of Poisson manifolds . Lett. Math. Phys. 66 ( 3 ): 157 – 216 . [CSA] [CROSSREF]
  • Koszul , J. L. ( 1985 ). Crochet de Schouten-Nijenjuis et cohomologie . In: The Mathematical Heritage of Elie Cartan (Lyon, 1984) . Astérisque , pp. 257 – 271 .
  • Loday , J. ( 1992 ). Cyclic homology . Berlin : Springer-Verlag .
  • Stasheff , J. D. ( 1963 ). On the Homology Associativity I and II . Transactions of the American Mathematical Society 108 . pp. 275 – 292 , 293 – 312 .
  • Tamarkin , D. (Preprint). Another proof of M. Kontsevich formality theorem. Preprint math\9803025 .
  • #Communicated by M. Rousso.

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Order Reprints Request Corporate Permissions

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

Request Academic Permissions

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.

Related research

People also read lists articles that other readers of this article have read.

Recommended articles lists articles that we recommend and is powered by our AI driven recommendation engine.

Cited by lists all citing articles based on Crossref citations.
Articles with the Crossref icon will open in a new tab.