A framework for geometric field theories and their classification in dimension one

DOI10.3842/SIGMA.2021.072zbMath1482.57035arXiv2001.05721MaRDI QIDQ2236613

Augusto Stoffel, Matthias Ludewig

Publication date: 25 October 2021

Published in: SIGMA. Symmetry, Integrability and Geometry: Methods and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2001.05721

zbMATH Keywords

vector bundlesbordismfield theory

Mathematics Subject Classification ID

Topological quantum field theories (aspects of differential topology) (57R56) Topology of vector bundles and fiber bundles (57R22) Applications of vector bundles and moduli spaces in mathematical physics (twistor theory, instantons, quantum field theory) (14D21)

Related Items (3)

Smooth 1-dimensional algebraic quantum field theories ⋮ Smooth one-dimensional topological field theories are vector bundles with connection ⋮ Homotopy sheaves on generalised spaces

Cites Work

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• Topological quantum field theories
• Parallel transport and functors
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• Classical Chern-Simons theory. I
• Classifying spaces and spectral sequences
• Espaces analytiques rélatifs et théorème de finitude
• Supersymmetric field theories and generalized cohomology
• A model for the homotopy theory of homotopy theory
• Smooth one-dimensional topological field theories are vector bundles with connection

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