Department of Mathematics

Geometry and Topology

  •  Splitting numbers and signatures
  •  10/20/2016
  •  2:00 PM - 2:50 PM
  •  C304 Wells Hall
  •  Anthony Conway, University of Geneva

The splitting number of a link is the minimal number of crossing changes between different components required to convert it into a split union of its components. Since 2012, this invariant has been studied using various tools such as Khovanov homology, covering link calculus, the Alexander polynomial and Heegaard-Floer homology. After briefly reviewing some of these methods, we will show how (multivariable) signatures give strong lower bounds on the splitting number. This is a joint work with David Cimasoni and Kleopatra Zacharova.



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

Phone: (517) 353-0844
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