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Original Articles

The heptagon-wheel cocycle in the Kontsevich graph complex

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Pages 157-173 | Received 02 Oct 2017, Accepted 24 Nov 2017, Published online: 29 Dec 2017

References

  • D. Bar-Natan and B.D. McKay, Graph cohomology — An overview and some computations, 13 p. (2001, unpublished), http://www.math.toronto.edu/~drorbn/papers/GCOC/GCOC.ps
  • A. Bouisaghouane, R. Buring and A. Kiselev, The Kontsevich tetrahedral flow revisited, J. Geom. Phys. 119 (2017) 272–285. (Preprint arXiv:1608.01710 [q-alg]) doi: 10.1016/j.geomphys.2017.04.014
  • A. Bouisaghouane and A.V. Kiselev, Do the Kontsevich tetrahedral flows preserve or destroy the space of Poisson bi-vectors ? J. Phys.: Conf. Ser. 804 (2017) Proc. XXIV Int. conf. ‘Integrable Systems and Quantum Symmetries’ (14–18 June 2016, Č VUT Prague, Czech Republic), Paper 012008, 10 p. (Preprint arXiv:1609.06677 [q-alg])
  • F. Brown, Mixed Tate motives over Z, Ann. Math. (2) 175:2 (2012) 949–976. doi: 10.4007/annals.2012.175.2.10
  • R. Buring and A.V. Kiselev, On the Kontsevich *-product associativity mechanism, PEPAN Letters 14:2 (2017) 403–407. (Preprint arXiv:1602.09036 [q-alg])
  • R. Buring and A.V. Kiselev, The expansion * mod ō(ħ4) and computer-assisted proof schemes in the Kontsevich deformation quantization, Preprint IHÉS/M/17/05 (2017) arXiv:1702.00681 [math.CO], 67 p.
  • R. Buring, A.V. Kiselev and N.J. Rutten, The Kontsevich–Willwacher pentagon-wheel symmetry of Poisson structures, SDSP IV (12–16 June 2017, ČVUT Děčín, Czech Republic).
  • V.A. Dolgushev, C.L. Rogers and T.H. Willwacher, Kontsevich’s graph complex, GRT, and the deformation complex of the sheaf of polyvector fields, Ann. Math. 182:3 (2015) 855–943. (Preprint arXiv:1211.4230 [math.KT])
  • V.G. Drinfel’d, On quasitriangular quasi-Hopf algebras and on a group that is closely connected with Gal(ℚ/ℚ), Algebra i Analiz 2:4 (1990) 149–181 (in Russian); Eng. transl. in: Leningrad Math. J. 2:4 (1990) 829–860.
  • M. Kontsevich, Feynman diagrams and low-dimensional topology, First Europ. Congr. of Math. 2 (Paris, 1992), Progr. Math. 120 (Birkhäuser, Basel, 1994) 97–121.
  • M. Kontsevich, Homological algebra of mirror symmetry, Proc. Intern. Congr. Math. 1 (Zürich, 1994), (Birkhäuser, Basel, 1995) 120–139.
  • M. Kontsevich, Formality conjecture. Deformation theory and symplectic geometry (Ascona 1996, D. Sternheimer, J. Rawnsley and S. Gutt, eds), Math. Phys. Stud. 20 (Kluwer Acad. Publ., Dordrecht, 1997) 139–156.
  • M. Kontsevich, Derived Grothendieck–Teichmüller group and graph complexes [after T. Willwacher], Séminaire Bourbaki (69ème année Janvier 2017) no. 1126 (2017) 26 p.
  • A. Khoroshkin T. Willwacher and M. Živković Differentials on graph complexes Adv. Math. 307 (2017) 1184–1214. (Preprint arXiv:1411.2369 [q-alg]) doi: 10.1016/j.aim.2016.05.029
  • C.A. Rossi and T. Willwacher P. Etingof’s conjecture about Drinfeld associators Preprint arXiv:1404.2047 [q-alg] (2014) 47 p.
  • T. Willwacher M. Kontsevich’s graph complex and the Grothendieck–Teichmüller Lie algebra Invent. Math. 200:3 (2015) 671–760. (Preprint arXiv:1009.1654 [q-alg])
  • T. Willwacher and M. Živković Multiple edges in M. Kontsevich’s graph complexes and computations of the dimensions and Euler characteristics Adv. Math. 272 (2015) 553–578. (Preprint arXiv:1401.4974 [q-alg]) doi: 10.1016/j.aim.2014.12.010

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