Combinatorial morse homology calculations on so(n)
Is this your thesis?
This record came from a bulk archive import. If it’s yours, link it to your profile.
Abstract (EN)
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.
Author
Turan Karakurt
How to Cite
Turan Karakurt (Doctorate thesis). Combinatorial morse homology calculations on so(n), 2025, Boğaziçi University.
Keywords
License
Tüm Hakları Saklıdır
This work is shared under the specified license terms.
More theses from Boğaziçi University
- Investigating the factors affecting the acceptance of generative artificial intelligence in business intelligence applications(2025)
- Nükleer güç, emek ve çevre: Akkuyu NGS(2023)
- Behind the gallows: Capital punishment, law, and legislative performance in Turkey (1926-1990)(2025)
- Exploring the values for nature, nature connectedness, pro-environmental behaviour, and well-being: A case study on urban park visitors in Istanbul(2025)
- An assessment on the role of regional development agencies in environmental governance in Türkiye: A case study on Thrace Region(2025)
- From the movement of '68 to the rupture of '71: The transformation of student protests in Turkey(2025)