On representations and K-theory of the braid groups

Mathematische Annalen

Volumn 326, Issue 3, 2003, Pages 515-542

  Adem, A ^a   Cohen, D ^b   Cohen, F R ^c  

^a UNIVERSITY OF WISCONSIN MADISON   (United States)

^b LOUISIANA STATE UNIVERSITY   (United States)

^c UNIVERSITY OF ROCHESTER   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0041912898     PISSN: 00255831     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00208-003-0435-8     Document Type: Article

References (27)

1. Arnol'D, V.I.: The cohomology ring of the colored braid group. Math. Notes Academy Sci. USSR 5, 138-140 (1969)
2. Arvola, W.: Arrangements and cohomology of groups. Preprint
3. Benson, D.J., Cohen, F.R.: Mapping class groups of low genus and their cohomology. Mem. Amer. Math. Soc. 90, 443 (1991)
4. Birman, J.: Braids, links and mapping class groups. Annals of Math. Studies, vol. 82. Princeton Univ. Press, Princeton, NJ, 1975
5. Bousfield, A., Kan, D.: Homotopy limits, completions and localizations. Lect. Notes in Math., vol. 304, Springer-Verlag, Berlin, 1972
6. Brieskorn, E.: Sur les groupes de tresses. In: Séminaire Bourbaki, 24ème annèe (1971/1972), Exp. No. 401, Lect. Notes in Math., vol. 317, Springer-Verlag, Berlin, 1973, pp. 21-44
7. Cartan, H.: Démonstration homologique des théorèmes de périodicité de Bott. II, In: Séminaire Henri Cartan, 12ième année: 1959/60. Périodicité des groupes d'Homotopie stables des groupes classiques, d'Après Bott, École Normale Supérieure. Secrétariat mathématique, Paris, 1961, pp. 16-01-16-16
8. Chari, V.: Pressley, A.: A Guide to Quantum Groups. Cambridge University Press, Cambridge, 1995
9. Cohen, D.: Monodromy of fiber-type arrangements and orbit configuration spaces. Forum Math. 13, 505-530 (2001)
10. n+1-spaces, n ≥ 0. In: The Homology of Iterated Loop Spaces, Lect. Notes in Math. 533, Springer-Verlag, Berlin-New York, 1976, pp. 207-352
11. 2 and its applications. Math. Z. 182, 553-568 (1983)
12. Cohen, F.R., Kohno, T., Xicoténcatl, M.: In preparation
13. Cohen, F.R., Mahowald, M.E., Milgram, R.J.: The stable decomposition for the double loop space of a sphere. In: Algebraic and geometric topology, Part 2, Proc. Sympos. Pure Math., XXXII, Amer. Math. Soc., Providence, R.I., 1978, pp. 225-228
14. Cohen, F.R., Xicoténcatl, M.: On orbit configuration spaces associated to the Gaussian integers: homology and homotopy groups. Topology Appl. 118, 17-29 (2002)
15. Drinfel'D, V.G.: On the structure of quasi-triangular quasi-Hopf algebras. Funct. Anal. Appl. 26, 63-65 (1992)
16. Falk, M.: A geometric duality for order complexes and hyperplane complements. Europ. J. Combin. 13, 351-355 (1992)
17. Formanek, E.: Braid group representations of low degree. Proc. London Math. Soc. 73, 279-322 (1996)
18. Formanek, E., Procesi, C.: The automorphism group of a free group is not linear. J. Algebra 149, 494-499 (1992)
19. Goresky, M., MacPherson, R.: Stratified Morse Theory. Ergeb. Math. Grenzgeb., vol. 14, Springer-Verlag, Berlin-New York, 1988
20. Kohno, T.: Linear representations of braid groups and classical Yang-Baxter equations. In: Braids, Contemp. Math., vol. 78, Amer. Math. Soc., Providence, RI, 1988, pp. 339-363
21. Kohno, T.: Vassiliev invariants and de Rham complex on the space of knots. In: Symplectic Geometry and Quantization, Contemp. Math., vol. 179, Amer. Math. Soc., Providence, RI, 1994, pp. 123-138
22. Milnor, J.: On axiomatic homology theory, Pacific J. Math. 12, 337-341 (1962)
23. Orlik, P., Terao, H.: Arrangements of hyperplanes. Grundlehren Math. Wiss., vol. 300, Springer-Verlag, Berlin, 1992
24. Randell, R.: Homotopy and group cohomology of arrangements. Topology Appl. 20,1-13 (1996)
25. Schaper, Ch.: Suspensions of affine arrangements. Math. Ann. 309, 463-473 (1997)
26. Schechtman, V., Varchenko, A.: Arrangements of hyperplanes and Lie algebra homology. Invent. Math. 106, 139-194 (1991)
27. Xicoténcatl, M.: The loop space homology of orbit configuration spaces. Trans. Amer. Math. Soc. To appear