Stacky fans and tropical moduli in polymake

Abstract

We investigate geometric embeddings among several classes of stacky fans and algorithms, e.g., to compute their homology. Interesting cases arise from moduli spaces of tropical curves. Specifically, we show that the tropical honeycomb curves form a contractible sub-locus in the moduli of all tropical $K_4$-curves.

8 pages, v2. New title and complete restructuring with new author. Main result strengthened to contractibility of moduli space rather than trivial homology