So(n) üzerinde kombinatorik morse homoloji hesaplamaları

In this thesis we study the gradient flows of a specific Morse function f_A,B on the special orthogonal group SO(n). We determine the exact number of flows. We also find the exact conditions of existence of gradient flows between the critical points with consecutive indices. Finally, we put an order with a combinatorial setup on the critical point set. Thanks to this order, boundary maps can be written easily and we implement an algorithm to calculate the Z_2-homology.