Counting Unlabelled Chord Diagrams of Maximal Genus

Аннотация

We enumerate maximal chord diagrams up to all isomorphisms. The enumeration formula is based on a bijection between the rooted one-vertex one-face maps on locally orientable surfaces and a certain class of symmetric chord diagrams. This result extends the result of Cori and Marcus on the enumeration of maximal chord diagrams up to rotations.