A norm on homology of surfaces and counting simple geodesics
classification
🧮 math.GT
math.DGmath.DSmath.NT
keywords
geodesicshomologynormsimpleasymptoticsboundedcompletecounting
read the original abstract
We define a norm on homology of punctured tori equipped with a complete hyperbolic metric of finite volume and use it to find asymptotics on the growth of the number of simple geodesics of bounded length.
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