Graduate Program in Mathematics.Karakurt, Çağrı.Karabatman, Ferhat.2023-03-162023-03-162020.MATH 2020 K37https://digitalarchive.library.bogazici.edu.tr/handle/123456789/15314In this thesis, we study the properties and an application of Maslov ternary index. By nding some special elements which generate symplectic group, we show that Maslov ternary index becomes a very important tool in the process of calculating the signature of a Lefschetz bration. Besides, we will provide easier proofs of some known theorems by using those special elements.30 cm.Maslov indexMathematics.ix, 61 leaves ;