Connected chord diagrams, bridgeless maps, and perturbative quantum field theory
By Karen Yeats
Appears in collection : Algebraic combinatorics, resurgence, moulds and applications / Combinatoire algébrique, résurgence, moules et applications
Rooted connected chord diagrams can be used to index certain expansions in quantum field theory. There is also a nice bijection between rooted connected chord diagrams and bridgeless maps. I will discuss each of these things as well as how the second sheds light on the first. (Based on work with Nicolas Marie, Markus Hihn, Julien Courtiel, and Noam Zeilberger.)
