The birational cobordism invariants of some Semi-Riemannian manifolds

This thesis consists of five chapters. The first section is the introduction. In the introduction part, literature review was made. In the second part, semi-Riemannian manifolds, some basic definitions, theorems and proofs of invariant theory were given. In the third chapter, the concept of cobordism, rational cobordism and its invariants are given. K(U) invariants, regle variety, homology and kodaira dimension were mentioned for semi-Riemannian manifolds. In the fourth chapter, birational cobordism invariants of some manifolds in R (3,1) semi-Riemannian space are examined. For this, 4 basic 2Cob generator cobordism given in R (3,1) space are discussed. These are trousers, oblique pipes, cylindrical and hyperboloid forms of cobordism. Equations of all these cobordisms are given, graphs are drawn, the maximum number of linear independent lightlike vectors k (U) numbers were found and the codaira dimensions were discussed. In the last section, conclusions and recommendations are given.