The S_n-equivariant rational homology of the tropical moduli spaces Δ_2,n

2020/08/10 by Claudia He Yun, Yun, Claudia He
Mathematics · #14Q05 (Secondary) #14T10 (Primary) #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Algebraic structures and combinatorial models #Combinatorics (math.CO) #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology

paper · pdf · doi:10.48550/arxiv.2008.04426

openalex publication_date 2020/08/10 · openalex created_date 2022/07/26 · openalex updated_date 2026/07/28

Abstract

We compute the S_n-equivariant rational homology of the tropical moduli spaces Δ_2,n for n≤ 8 using a cellular chain complex for symmetric Δ-complexes in Sage.

Related

• A Serre spectral sequence for the moduli space of tropical curves
• Topology of the tropical moduli spaces M_2,n
• Filtrations of moduli spaces of tropical weighted stable curves
• Moduli spaces of tropical curves of higher genus with marked points and homotopy colimits
• Moduli spaces of rational tropical curves