Legendrian graphs with all cycles unknots of maximal Thurston-Bennequin number

Start: 10/25/2011 - 3:00pm
End  : 10/25/2011 - 4:00pm

Topology Seminar

Elena Pavelescu, Occidental College


A Legendrian graph in a contact structure is a graph embedded in such a way that its edges are everywhere tangent to the contact planes. In this talk we look at Legendrian graphs in $ R^3 $ with the standard contact structure. We extend the invariant Thurston-Bennequin number (tb) from Legendrian knots to Legendrian graphs.

We prove that a graph can be Legendrian realized with all its cycles Legendrian unknots with $ tb=-1 $ if and only if it does not contain $ K_4 $ as a minor. 

Millikan 211

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