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Topological Invariance of Intersection Lattices of Arrangements in $\Bbb {CP}^2$
Author(s):
Tan
Jiang;
Stephen
S.-T.
Yau
Journal:
Bull. Amer. Math. Soc.
29
(1993),
88-93.
MSC (1991):
Primary 05B35, 14B05, 14F45, 57N20
MathSciNet review:
1197426
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Additional information
References:
- [1]
- M. Falk, The cohomology and fundamental group of a hyperplane complement, Proceedings Iowa City Conference on Singularities, Contemp. Math. \textbf{90} (1989), 55--72. MR 1000594
- [2]
- M. Falk, On the algebra associated with a geometric lattice, Adv. in Math. \textbf{80} (1990), 152--163. MR 1046688
- [3]
- M. Falk, Homotopy types of line arrangements, preprint. MR 1193601
- [4]
- T. Jiang and S. S.-T. Yau, \emph{Topological and differential structures of the complement of an arrangement of hyperplanes}, Proc. Sympos. Pure Math., vol. 54, part 2, Amer. Math. Soc., Providence, RI, 1993, pp. 337--358. MR 1216551
- [5]
- T. Jiang and S. S.-T. Yau, Diffeomorphic type of the complement of arrangement of hyperplanes, submitted. MR
- [6]
- T. Jiang and S. S.-T. Yau, Lattices and the topological structures of complements of arrangements in $\Bbb {CP}^2$, submitted. MR
- [7]
- W. Neumann, A calculus for plumbing applied to the topology of complex surface singularities and degenerating complex curves, Trans. Amer. Math. Soc. \textbf{268} (1981), 299--344. MR 632532
- [8]
- P. Orlik, \emph{Introduction to arrangements} vol.~72, Amer. Math. Soc., Providence, RI, 1989. MR 1006880
- [9]
- P. Orlik and L. Solomon, Combinatorics and topology of complements of hyperplanes, Invent. Math. \textbf{56} (1980), 167--189. MR 558866
- [10]
- P. Orlik and H. Terao, Arrangements of hyperplanes, Springer-Verlag, Berlin, Heidelberg, and New York, 1992. MR 1217488
- [11]
- L. Rose and H. Terao, Private communication, 1988. MR
- [12]
- F. Waldhausen, Ein Klasse von $3$-dimensionalen Mannigfaltigkeiten, Invent. Math. \textbf{3} (1967), 308--333; {\bf 4} (1967), 87--117. MR 235576
- [13]
- F. Waldhausen, On irreducible $3$-manifolds that are sufficiently large, Ann. of Math. (2) \textbf{87} (1968), 56--88. MR 224099
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Additional Information:
DOI:
10.1090/S0273-0979-1993-00409-9
PII:
S 0273-0979(1993)00409-9
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