Abstract

A map f from a surface into the two-sphere can be viewed as a geometric structure that models twisted structures. In this talk, we focus on a pseudoscalar quantity—local chirality (local asymmetry)—derived from the local variation of the map f, and examine how such local asymmetry contributes to the emergence of global twisting. We then explore a discrete differential–geometric treatment of this setting and outline a framework for describing chirality in a discrete context.