Department of Mathematics

Geometry and Topology

  •  The genus of a special cube complex and its applications
  •  03/02/2017
  •  2:00 PM - 2:50 PM
  •  C304 Wells Hall
  •  Corey Bregman, Rice University

Recently, the geometry of non-positively curved (NPC) cube complexes has featured prominently in low-dimensional topology. We introduce an invariant of NPC special cube complexes called the genus, which generalizes the classical notion of genus for a closed orientable surface. We then show that having genus one characterizes special cube complexes with abelian fundamental group and discuss some applications.

 

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Department of Mathematics
Michigan State University
619 Red Cedar Road
C212 Wells Hall
East Lansing, MI 48824

Phone: (517) 353-0844
Fax: (517) 432-1562

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