Combinatorial Model for Tight Semiflows

Construct a canonical combinatorial model, analogous to a veering triangulation, that elegantly encodes transverse surfaces or other objects in a sutured manifold with a tight semiflow and supports a correspondence theory between tight semiflows and the combinatorial model.

Background

Veering triangulations provide a combinatorial framework for encoding transverse surfaces and flow data in the closed pseudo-Anosov setting. The paper constructs canonical semiflows on homology guts but does not provide an analogous combinatorial structure for these sutured manifolds. The question asks for such a model and for a correspondence between its combinatorial data and tight semiflows.

References

is there a combinatorial model, like the veering triangulation, that encodes transverse surfaces or other objects in the guts elegantly (or more generally, any sutured manifold with a tight semiflow) and has a correspondence theory between semiflows and the combinatorial model?

— Pseudo-Anosov flow and dynamics on guts  (2608.30973 - Huang, 31 Aug 2026) in Section 6, subsection “Characterization of flows on the guts”