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On the other side of the bialgebra of chord diagrams

Bibliographic reference Tourtchine, Victor. On the other side of the bialgebra of chord diagrams. In: Journal of Knot Theory and Its Ramifications, Vol. 16, no.5, p. 575-629 (2007)
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  1. V. A. Vassiliev, Theory of Singularities and its Applications, Advances in Soviet Mathematics, ed. V. I. Arnol'd (American Mathematical Society, Providence, RI, 1990) pp. 23–69.
  2. M. Kontsevich, Vassiliev's knot invariants, Advances in Soviet Mathematics 16 (American Matematical Society, Providence, RI, 1993) pp. 137–150.
  3. Goodwillie Thomas G., Calculus II: Analytic functors, 10.1007/bf00535644
  4. Goodwillie Thomas G, Weiss Michael, Embeddings from the point of view of immersion theory : Part II, 10.2140/gt.1999.3.103
  5. Sinha Dev P., 10.1090/s0894-0347-05-00510-2
  6. Vassiliev V. A., Complements of Discriminants of Smooth Maps: Topology and Applications, 98
  7. Cattaneo Alberto S, Cotta-Ramusino Paolo, Longoni Riccardo, Configuration spaces and Vassiliev classes in any dimension, 10.2140/agt.2002.2.949
  8. Tourtchine V., On the Homology of Spaces of Long Knots, NATO Science Series ISBN:9781402027703 p.23-52, 10.1007/978-1-4020-2772-7_2
  9. Vassiliev V. A., Complexes of Connected Graphs, The Gelfand Mathematical Seminars, 1990–1992 (1993) ISBN:9781461267171 p.223-235, 10.1007/978-1-4612-0345-2_15
  10. Cohen Fred, The homology of C n+1-Spaces, n≥0, Lecture Notes in Mathematics (1976) ISBN:9783540079842 p.207-351, 10.1007/bfb0080467
  11. Gerstenhaber M., Int. Math. Res. Notices's, 141
  12. Kadeishvili T., Trudy Tbiliss. Mat. Inst. Razmadze Akad. Nauk Gruzin. SSR, 91, 19
  13. Chapoton F., Int. Math. Res. Notices, 8, 395
  14. Gerstenhaber Murray, The Cohomology Structure of an Associative Ring, 10.2307/1970343
  15. Budney Ryan, Little cubes and long knots, 10.1016/
  16. Kontsevich Maxim, 10.1023/a:1007555725247
  17. M. Kontsevich and Ya. Soibelman, Conférence Moshé Flato 1999, Vol. I (Dijon), Mathematical Physical Studies 21 (Kluwer Academic Publishing, Dordrecht, 2000) pp. 255–307.
  18. Tourtchine Victor, Dyer–Lashof–Cohen operations in Hochschild cohomology, 10.2140/agt.2006.6.875
  19. Tourtchine V., Mosc. Math. J., 6, 169
  20. Fuchs D. B., Funct. Anal. Appl., 4, 62
  21. Vainshtein F. V., Funct. Anal. Appl., 12, 72
  22. Vassiliev V. A., Func. Anal. Appl., 22, 15
  23. Snaith V. P., J. London Math. Soc. (2), 7, 577
  24. André M, Hopf algebras with divided powers, 10.1016/0021-8693(71)90126-8
  25. McClure James E., Smith Jeffrey H., A solution of Deligne’s Hochschild cohomology conjecture, 10.1090/conm/293/04948
  26. Tamarkin Dmitry E., Formality of Chain Operad of Little Discs, 10.1023/b:math.0000017651.12703.a1
  27. Voronov Alexander A., Homotopy Gerstenhaber algebras, Conférence Moshé Flato 1999 (2000) ISBN:9789048155514 p.307-331, 10.1007/978-94-015-1276-3_23
  28. Westerland Craig, Dyer-Lashof operations in the string topology of spheres and projective spaces, 10.1007/s00209-005-0778-9
  29. Araki S., Proc. Japan Acad., 32, 333
  30. Cohen J. W., On Regenerative Processes in Queueing Theory, ISBN:9783540076278, 10.1007/978-3-642-95281-4
  31. May J. P., The Geometry of Iterated Loop Spaces, ISBN:9783540059042, 10.1007/bfb0067491
  32. Milgram R. James, Iterated Loop Spaces, 10.2307/1970453
  33. Segal Graeme, Configuration-spaces and iterated loop-spaces, 10.1007/bf01390197