nLab functorial quantum field theory - contents

functorial quantum field theory

Contents

• cobordism category

  • cobordism

  • extended cobordism

  • (∞,n)-category of cobordisms

  • Riemannian bordism category

• cobordism hypothesis

  • generalized tangle hypothesis

  • classification of TQFTs

• functorial field theory

  • unitary functorial field theory

  • extended functorial field theory

  • CFT

    • vertex operator algebra

  • TQFT

    • Reshetikhin-Turaev model / Chern-Simons theory

    • HQFT

    • TCFT

      • A-model, B-model, Gromov-Witten theory

      • homological mirror symmetry

• FQFT and cohomology

  • (1,1)-dimensional Euclidean field theories and K-theory

  • (2,1)-dimensional Euclidean field theory

  • geometric models for tmf

• holographic principle of higher category theory

  • holographic principle

  • AdS/CFT correspondence

  • quantization via the A-model