2 papers
math.GT2025
Diagrams of links and bands on 3-manifold spines and flow-spines
Carlo Petronio
The Reidemeister theorem states that any link in -space can be encoded by a diagram (a suitably decorated projection) on a plane, and provides a finite set of combinatorial move…
math.GT2023
Properly immersed curves in arbitrary surfaces via apparent contours on spines of traversing flows
Carlo Petronio
Let S be a compact surface with boundary and F be the set of the orbits of a traversing flow on S. If the flow is generic, its orbit space is a spine G of S, namely G is a graph em…