ON EXTENDING GROUP ACTIONS FROM SURFACES TO THREE SPHERE


Tezin Türü: Yüksek Lisans

Tezin Yürütüldüğü Kurum: Orta Doğu Teknik Üniversitesi, Fen Edebiyat Fakültesi, Matematik Bölümü, Türkiye

Tezin Onay Tarihi: 2022

Tezin Dili: İngilizce

Öğrenci: DAMLA ERDOĞAN

Danışman: Semra Pamuk

Açık Arşiv Koleksiyonu: AVESİS Açık Erişim Koleksiyonu

Özet:

Even though surfaces are the most elementary objects in geometry and topology, because of the variety of structures they have it is still an active area of research. The symmetries of surfaces have been studied for a long time. One of the compelling questions is which of these symmetries can be extended to handlebodies and 3-sphere. In this thesis, we are focusing on the symmetries of surfaces which can be embedded into the symmetries of 3-sphere. The aim is to give an overview of the problem with some background and present some of the known results with proofs.