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FSU Mathematics


John Bergschneider

Classifying 2-Stratifolds with Finite Fundamental Group

2-Stratifolds are surfaces everywhere except along a finite collection of simple closed curves where n-sheets meet. In contrast to surfaces, there is no general classification of 2-stratifolds. But the finite fundamental group of these spaces are known to be the finite fuchsian groups. We explore a solution on how to classify 2-stratifold by their fundamental group and the their associated graph. This work is currently in progress and under the supervision of Wolfgang Heil.