## Binary delta-matroids and canonical forms

### Brigitte Servatius — Worcester Polytechnic Institute

The handle slide operation, originally defined for ribbon graphs, was extended to delta-matroids by I. Moffatt and E. Mphako-Bandab, whoshow that, using a delta-matroid analogue of handle slides, every binary delta-matroid in which the empty set is feasible can be written in a canonical form analogous to the canonical form for one-vertex maps on a surface.

We provide a canonical form for binary delta-matroids without restriction on the feasibility of the empty set. This is joint work with Remi Cocu Avohou.

Zoom recording: https://clemson.zoom.us/rec/share/rvFLiEIhTUg0C1kl-dIQA_dnKsqG6qAN2M2eNTLkGQPT7_JsoPWhl72wCRIaSFAK.14TVBRUBia7IfN0r