Iain Moffatt

Examines the full generalization of duality for embedded graphs, and interactions of this duality with graph polynomials and knot polynomials that resulted from this research Illustrates the advantages of moving from plane and abstract graphs to graphs on surfaces Unifies various connections among dualities, graph polynomials, and knot polynomials Emphasizes the ways in which developments in knot theory lead to developments in graph theory, and vice versa, and take the reader to the forefront of research in this area Includes supplementary material: sn.pub/extras