No abstract

No abstract

Given integers g ≥ 0, n ≥ 1, and a vector w ∈ (Q ∩ (0, 1]) n such that 2g − 2 + w i > 0, we study the topology of the moduli space ∆ g,w of w-stable tropical curves of genus g with volume 1. The space ∆ g,w is the dual complex of the divisor of singular curves in Hassett's moduli space of w-stable genus g curves M g,w . When g ≥ 1, we show that ∆ g,w is simply connected for all values of w. We also give a formula for the Euler characteristic of ∆ g,w in terms of the combinatorics of w.