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

  1. Two-dimensional topological field theory
    1. Introduction
    2. Cobordisms
    3. Mathematical formulation
    4. Categorical framework of 2d topological field theories
  2. Frobenius manifolds
    1. The WDVV equations
    2. Frobenius algebras
    3. Geometrical description of WDVV equations

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