On cohomology algebras of complex subspace arrangements

Transactions of the American Mathematical Society

Volumn 352, Issue 8, 2000, Pages 3523-3555

  Feichtner, Eva Maria ^a   Ziegler, Gunter M ^a  

^a ETH ZURICH   (Switzerland)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 23044518329     PISSN: 00029947     EISSN: None     Source Type: Journal    
DOI: 10.1090/s0002-9947-00-02537-x     Document Type: Article

References (18)

1. [Bj1] A. Björnen Homology and shellability of matroids and geometric lattices; in: Matroid Applications (N. White, ed.); Cambridge University Press, 1992, pp. 226-283. MR 94a:52030
2. [Bj2] A. Björner: Topological methods; in: Handbook of Combinatorics (R. Graham, M. Grötschel, L. Lovâsz, eds); North-Holland, Amsterdam, 1995, pp. 1819-1872. MR 96m:52012
3. [Bj3] A. Björner: Subspace arrangements; in: Proc. First European Congress of Mathematics, Paris 1992 (A. Joseph et al., eds); Birkhäuser, Basel, 1994, pp. 321-370. MR 96h:52012
4. [Bj4] A. Björner: Nonpure shellability, f-vectors, subspace arrangements and complexity; in: Formal Power Series and Algebraic Combinatorics, DIMACS Workshop 1994 (L.J. Billera et al., eds); Amer. Math. Soc., Providence, R.I., 1996, pp. 25-53. MR 96h:05213
5. [BZ] A. Björner, G.M. Ziegler: Combinatorial stratification of complex arrangements; J. Amer. Math. Soc. 5 (1992), 105-149. MR 92k:52022
6. [Br] G.E. Bredon: Topology and Geometry; Graduate Texts in Mathematics 129, SpringerVerlag, 1993. MR 94d:55001
7. [Bn] E. Brieskorn: Sur les groupes de tresses; in: Séminaire Bourbaki, 1971/1972, no. 401; Lecture Notes in Mathematics, vol. 317, Springer-Verlag, 1973, pp. 21-44. MR 54:10660
8. [Bry] T. Brylawski: The broken-circuit complex; Trans. Amer. Math. Soc. 234 (1977), 417-433. MR 80a:05055
9. [CR] H.H. Crapo, G.-C. Rota: On the Foundations of Combinatorial Geometry: Combinatorial Geometries (preliminary edition); MIT Press, Cambridge, MA, 1970. MR 45:74
10. [DP] C. De Concini, C. Procesi: Wonderful models of subspace arrangements; Sclecta Math., New Series 1 (1995), 459-194. MR 97k:14013
11. [Fe] E.M. Feichtner: Cohomology algebras of subspace arrangements and of classical configuration spaces; Doctoral thesis, TU Berlin 1997 (Cuvillier Verlag, Göttingen, 1997).
12. [GM] M. Goresky, R. MacPherson: Stratified Morse Theory; Ergebnisse der Mathematik und ihrer Grenzgebiete, 3. Folge, Band 14, Springer-Verlag, 1988. MR 90d:57039
13. [MS] J. Milnor, J. Stasheff; Characteristic Classes; Ann, of Math. Studies, Princeton Univ. Press, 1974. MR 55:13428
14. [Mu] J.R. Munkres: Elements of Algebraic Topology; Addison-Wesley, 1984. MR 85m:55001
15. [OS] P. Orlik, L. Solomon: Combinatorics and topology of complements of hyperplanes; Invent. Math. 56 (1980), 167-189. MR 81e:32015
16. [Ox] J. Oxley: Matroid Theory, Oxford University Press, Oxford, 1992. MR 94d:05033
17. [Y] S. Yuzvinsky: Small rational model of subspace complement; preprint, March 1998.
18. [Z] G.M. Ziegler: On the difference between real and complex arrangements; Math. Zeitschrift 212 (1993), 1-11. MR 94f:52017