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3:40 pm Wednesday, January 26, 2011 Topology Virtual Seminar: On Legendrian Graphsby Elena Pavelescu (Rice University) in HB 355- We study Legendrian graphs in R^3 with the standard contact structure. In particular, we make sense of the classical invariants Thurston-Bennequin number and rotation number in the context of Legendrian graphs. We prove an identity about the Thurston-Bennequin numbers in K_4 (the complete graph with 4 vertices) and explore its consequences. One of them is that K_n, n>3 cannot be Legendrian realized in such a way that all its cycles are Legendrian unknots of maximal Thurston-Bennequin number. This is joint work with Danielle O'Donnol.
Submitted by shelly@rice.edu |