Loading...

(Topological Quantum Field Theory (TQFT

Eidi, Marzieh | 2014

1389 Viewed
  1. Type of Document: M.Sc. Thesis
  2. Language: Farsi
  3. Document No: 46598 (02)
  4. University: Sharif University of Technology
  5. Department: Mathematical Sciences
  6. Advisor(s): Jafari, Amir
  7. Abstract:
  8. This thesis is about one of the newest attractive theories in mathematics and theoretical physics; Topological Quantum Field Theory (TQFT) has some basic algebraic requirements called tensor categories, after introducing them and describing axioms of the theory which has suggested by Atiyah in 1988, we will see that the category of 2d-TQFT is equivalent to the category of commutative frobenius algebras over an arbitrary field .In the last part we focus on some topological aspects of theory in dimension 3 and some invariants of 3d manifolds , we will see these invariants are the main tool for construction a 3d-TQFT
  9. Keywords:
  10. Links ; Tensor Category ; Topological Quantum Field Theory (TQFT) ; Cobordism Category ; Frobenius Algebra ; Quantum Invariance ; Ribbon Graph ; Kirby Moves

 Digital Object List