Department of Mathematics

Geometry and Topology

  •  Almost alternating, Turaev genus one, and semi-adequate links
  •  03/22/2018
  •  2:00 PM - 3:00 PM
  •  C304 Wells Hall
  •  Adam Lowrance, Vassar College

A link is almost alternating if it is non-alternating and has a diagram such that one crossing change transforms it into an alternating diagram. Turaev genus one links are a certain generalization of non-alternating Montesinos links. A link is semi-adequate if it has a diagram where at least one of the all-A or all-B Kauffman state graphs is loopless. In this talk, we discuss the Jones polynomial and Khovanov homology of links in these three classes, and we discuss open problems about the relationships between the three classes.

 

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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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