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.