Symmetrisation of n-operads and compactification of real configuration spaces

Advances in Mathematics

Volumn 211, Issue 2, 2007, Pages 684-725

  Batanin, M A ^a  

^a MACQUARIE UNIVERSITY   (Australia)

Author keywords

Configuration spaces; En operads; Fulton Macpherson compactification; n operads; Symmetric operads

Indexed keywords

EID: 33947601412     PISSN: 00018708     EISSN: 10902082     Source Type: Journal    
DOI: 10.1016/j.aim.2006.07.022     Document Type: Article

References (25)

1. Balteanu C., Fiedorowicz Z., Schwänzl R., and Vogt R. Iterated monoidal categories. Adv. Math. 176 (2003) 277-349
2. ∞-structures in monoidal categories. J. Pure Appl. Algebra 123 (1998) 67-103
3. Batanin M.A. Monoidal globular categories as a natural environment for the theory of weak n-categories. Adv. Math. 136 (1998) 39-103
4. M.A. Batanin, The Eckman-Hilton argument and higher operads, preprint, 2006
5. Bar-Natan D. Non-associative tangles. 1AMS/IP Stud. Adv. Math. vol. 2.1 (1997) 139-183
6. n-operads. Contemp. Math. vol. 202 (1997) 37-52
7. Berger C., and Moerdijk I. Axiomatic homotopy theory for operads. Comment. Math. Helv. 78 (2003) 805-831
8. Fox R., and Neuwirth L. The braid groups. Math. Scand. 10 (1962) 119-126
9. E. Getzler, J.D.S. Jones, Operads homotopy algebra, and iterated integrals for double loop spaces, Warwick preprints, 1994
10. Ginzburg V., and Kapranov M. Koszul duality for operads. Duke Math. J. 76 (1994) 203-272
11. Hirschhorn P.S. Model Categories and Their Localizations. Math. Surveys Monogr. vol. 99 (2003), Amer. Math. Soc., Providence, RI
12. A. Joyal, Disks, duality and Θ-categories, preprint, 1997
13. Kontsevich M. Operads and motives in deformation quantization. Lett. Math. Phys. 48 1 (1999) 35-72
14. M. Kontsevich, Y. Soibelman, Deformation of algebras over operads and Deligne's conjecture, in: Conférence Moshé Flato 1, Dijon, 1999, pp. 255-307
15. Mac Lane S. Categories for the Working Mathematician. Grad. Texts in Math. second ed. vol. 5 (1998), Springer, New York
16. Markl M. A compactification of the real configuration space as an operadic completion. J. Algebra 215 1 (1999) 185-204
17. May P. The Geometry of Iterated Loop Spaces. Lecture Notes in Math. vol. 271 (1972), Springer, Berlin
18. Salvatore P. Configuration spaces with summable labels. Progr. Math. vol. 196 (2001) 375-395
19. Sinha D. Manifold-theoretic compactifications of configuration spaces. Selecta Math. 10 3 (2004) 391-428
20. Stasheff J.D. Homotopy associativity of H-spaces, I. Trans. Amer. Math. Soc. 108 (1963) 275-292
21. Stasheff J.D. Homotopy associativity of H-spaces, II. Trans. Amer. Math. Soc. 108 (1963) 293-312
22. Tamarkin D.E. What do DG-categories form?. Compos. Math., in press. Available at. math.CT/0606553
23. D.E. Tamarkin, Swiss-Cheese operads, letter to M. Batanin, 2006
24. Voronov A. The Swiss-Cheese operad. Contemp. Math. vol. 239 (1998) 365-373
25. Voronov A. Homotopy Gerstenhaber algebras. Conférence Moshé Flato II. Dijon, 1999. Math. Phys. Stud. vol. 22 (2000), Kluwer Acad. Publ., Dordrecht 307-331