The Homotopy Type of the Complement to a System of Complex Lines in ℂ2
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Using the braid monodromy presentation for the fundamental group of the complement to a system of complex lines in ℂ 2, we suggest a CW model for the homotopy type of that complement that modified our previous one \( C(\mathcal A)\). We also discuss the minimality of this model using the discrete Morse Theory.
KeywordsDiscrete Morse theory Hyperplane arrangement Minimality
Mathematics Subject Classification (2010)52C53 32S22
We would like to thank the referees for the thorough, constructive and helpful comments and suggestions which substantially helped to improve the paper.