MATCHING COMPLEXES, BOUNDED DEGREE GRAPH COMPLEXES AND WEIGHT SPACES OF GL_n-COMPLEXES

Dikran B. Karaguezian, Victor Reiner and Michelle L. Wachs

Abstract: We present a technique for lifting results on the homology of matching complexes of certain types of graphs and hypergraphs to general bounded degree graph complexes. This technique is based on our observation that homological results of Bouc on matching complexes, of Reiner and Roberts on bounded degree graph complexes and of J\'ozefiak and Weyman on Koszul complexes are all equivalent.


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