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June 10, 2026Surveys in Differential Geometry

The role of p₁-structures in 3-dimensional Chern--Simons theories

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Authors

DFDaniel S. FreedCTConstantin Teleman

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Overview

Randomized trial explores the construction of local Chern–Simons theories, suggesting deeper connections among gauge theories.

Key Points

  • The aim is to illustrate the construction of local Chern–Simons theories through the cobordism hypothesis.
  • Use cobordism hypothesis to develop fully local Chern–Simons theories.
  • Analyze physics motivations including Yang–Mills and Majorana–Weyl spinors.
  • Discuss tangential structures and their implications in field theory.
  • Presented new insights into Chern–Simons theories in both bosonic and fermionic contexts.
  • Illustrated how gravitational Chern–Simons theory links gauge theory and topological field theory.

Cite This Study

Freed et al. (2026) studied this question.

synapsesocial.com/papers/6a2900566f82f25be989ced3https://doi.org/10.4310/sdg.260604000503
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Also Consider

Synapse has enriched 5 closely related papers on similar clinical questions. Consider them for comparative context:

  1. 1BPS complexes and Chern--Simons theories from $G$-structures in gauge theory and gravity2024
  2. 2The 3d $A$-model and generalised symmetries, part I: Bosonic Chern-Simons theories2025
  3. 3Chern-Simons Theory, Holography and Topological Strings2025
  4. 4Chern-Simons Theory Bridges 3D Gravity and Topological Quantum Field Theory — E8 Intelligence Research2026
  5. 5Chern-Simons Theory: Topological Invariants and the Gauge Structure of Spacetime — E8 Intelligence Research2026