The Morse complex of a line arrangement

JOURNAL OF ALGEBRA

卷:321

Article

Gaiffi, Giovanni¹  Salvetti, Mario¹ 

[1] Univ Pisa, Dipartimento Matemat, I-56100 Pisa, Italy

关键词: Morse theory;    hyperplane arrangements;    Algebraic complexes;    Twisted (co)homology;   

DOI  :  10.1016/j.jalgebra.2008.09.009

来源: Elsevier

【 摘 要 】

Let M(A) be the complement in C-2 of a complexified line arrangement. We provide compact formulas for a Morse complex which computes the (co)homology of M(A) with coefficients in an abelian local system. This refines and simplifies, in the two-dimensional case. a general construction appeared in [M. Salvetti, S. Settepanella, Combinatorial Morse theory and minimality of hyperplane arrangements, Geom. Topol. 11 (2007) 1733-1766], giving also a direct geometrical interpretation. (c) 2008 Elsevier Inc. All rights reserved.

【 授权许可】

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