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Feynman diagrams and transition polynomial
by
Yongwu Rong
George Washington University
Coauthors: Kerry Luse
Feynman diagrams arise from physics, and have interesting applications in mathematics and molecular biology. The transition polynomial for 4-regular graphs was defined by Jaeger to unify polynomials given by vertex reconfigurations similar to the skein relations of knots. It is closely related to the Kauffman bracket, Tutte polynomial, and the Penrose polynomial. This talk will discuss some natural relations between the two concepts. In particular, we show that the genus of a Feynman diagram is encoded in the transition polynomial. This is joint work with Kerry Luse.
Date received: April 12, 2007
Copyright © 2007 by the author(s). The author(s) of this work and the organizers of the conference have granted their consent to include this abstract in Topology Atlas. Document # cauq-16.