Formality of the complements of subspace arrangements with geometric lattices

2005/04/15 by Eva Maria Feichtner, Feichtner, Eva Maria, Sergey Yuzvinsky +1 · 1 citation
Mathematics · #55P62 #Algebraic Topology (math.AT) #Combinatorics (math.CO) #FOS: Mathematics #math.AT #math.CO #msc:05E25 #msc:52C35 #msc:55P62 #primary 52C35 #secondary 05E25

paper · pdf · doi:10.48550/arxiv.math/0504321

10 pages, 1 figure

arxiv created 2005/04/15 · arxiv updated 2009/12/01

Abstract

We show that, for an arrangement of subspaces in a complex vector space with geometric intersection lattice, the complement of the arrangement is formal. We prove that the Morgan rational model for such an arrangement complement is formal as a differential graded algebra.

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