A chamber decomposition of tangency conditions for log stable maps to toric surfaces makes the Grothendieck class of the moduli space constant within chambers defined by fixed cyclic orderings.
The tropicalization of the moduli space of curves
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Cut and paste invariants of moduli spaces of stable maps to toric surfaces
A chamber decomposition of tangency conditions for log stable maps to toric surfaces makes the Grothendieck class of the moduli space constant within chambers defined by fixed cyclic orderings.