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A concise introduction to geometry of quantum field theories
Hugo Sauerbier Couvée, double bachelor project mathematics - physics, 2017. Supervisor of the physics part:
Erik Verlinde
Outline
Two-dimensional topological field theory
Introduction
Cobordisms
Mathematical formulation
Categorical framework of 2d topological field theories
Frobenius manifolds
The WDVV equations
Frobenius algebras
Geometrical description of WDVV equations