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arXiv · 1001.2815

Geometry of tropical moduli spaces and linkage of graphs

Lucia Caporaso
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Abstract

We prove the following "linkage" theorem: two p-regular graphs of the same genus can be obtained from one another by a finite alternating sequence of one-edge-contractions; moreover this preserves 3-edge-connectivity. We use the linkage theorem to prove that various moduli spaces of tropical curves are connected through codimension one.

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Lucia Caporaso. 2010-01-16. Geometry of tropical moduli spaces and linkage of graphs. https://doi.org/10.1016/j.jcta.2011.11.011

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