Using combinatorial Morse theory on the CW-complex S constructed in Salvetti [15] which gives the homotopy type of the complement to a complexified real arrangement of hyperplanes, we find an explicit combinatorial gradient vector field on S, such that S contracts over a minimal CW-complex. The existence of such minimal complex was proved before Dimca and Padadima [5] and Randell [14] and there exists also some description of it by Yoshinaga [19]. Our description seems much

Combinatorial Morse theory and minimality of hyperplane arrangements

SETTEPANELLA S
2007-01-01

Abstract

Using combinatorial Morse theory on the CW-complex S constructed in Salvetti [15] which gives the homotopy type of the complement to a complexified real arrangement of hyperplanes, we find an explicit combinatorial gradient vector field on S, such that S contracts over a minimal CW-complex. The existence of such minimal complex was proved before Dimca and Padadima [5] and Randell [14] and there exists also some description of it by Yoshinaga [19]. Our description seems much
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http://www.msp.warwick.ac.uk/gt/2007/11/p037.xhtml
LOCAL SYSTEMS; MILNOR FIBERS; COHOMOLOGY; COMPLEMENT
SALVETTI M; SETTEPANELLA S
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/2318/1843780
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