most citedAlgebraic intersection in regular polygons

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math.DS2021★ 1 cited

Algebraic intersection in regular polygons

Julien Boulanger, Erwan Lanneau, Daniel Massart

We study the function $$\mbox{KVol} : (X,ω)\mapsto \mbox{Vol} (X,ω) \sup_{α,β} \frac{\mbox{Int} (α,β)}{l_g (α) l_g (β)}$$ defined on the moduli spaces of translation surfaces. More…

math.GT2020

Central points of the double heptagon translation surface are not connection points

Julien Boulanger

We consider flow directions on the translation surfaces formed from double -gons, and give a sufficient condition in terms of a natural gcd algorithm for a direction to be…