Cat0 Cube Complexes - Petra Schwer

In Recent Years Cube Complexes Have Become A Cornerstone Topic Of Geometric Group Theory And Have Proven To Be A Powerful Tool In Other Areas, Such As Low Dimensional Topology, Phylogenetic Trees Or In The Context Of Optimization Problems. This Book Covers A Wide Variety Of Algebraic And Geometric Properties Of Cube Complexes And The Groups Acting On Them. The Content Ranges From Basic Properties Of Metric Spaces, Notions Of Non-positive Curvature, Gromovs Link Condition And The Varcmilnor Theorem To Advanced Material Such As The Cubulation Of Half-space Systems And The Roller Boundary, The Construction Of Cube Complexes Associated With Coxeter Groups, And The Tits Alternative For Cubical Groups.