The Hamilton-Jacobi characteristic equations for topological invariants: Pontryagin and Euler classes

DOI10.1016/J.AOP.2020.168265zbMath1451.70058arXiv1911.08422OpenAlexW2989696860MaRDI QIDQ2216632

Alberto Escalante, Aldair Pantoja

Publication date: 16 December 2020

Published in: Annals of Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1911.08422

zbMATH Keywords

topological theoriesHamilton Jacobi scheme

Mathematics Subject Classification ID

Yang-Mills and other gauge theories in mechanics of particles and systems (70S15) Differential geometric methods (tensors, connections, symplectic, Poisson, contact, Riemannian, nonholonomic, etc.) for problems in mechanics (70G45) Lagrangian formalism and Hamiltonian formalism in mechanics of particles and systems (70S05)

Cites Work

• Hamiltonian study for Chern-Simons and Pontryagin theories
• Faddeev-Jackiw quantization of topological invariants: Euler and Pontryagin classes
• Non-involutive constrained systems and Hamilton-Jacobi formalism
• Involutive constrained systems and Hamilton-Jacobi formalism
• Three-dimensional background field gravity: a Hamilton--Jacobi analysis
• MacDowell–Mansouri gravity and Cartan geometry
• On the dynamics of singular, continuous systems
• Hamiltonian analysis of a topological theory in the presence of boundaries
• Quantum Gravity

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