On path integrals for point mechanics via Lie algebroids:
Joshua Lackman, A Groupoid Construction of Functional Integrals: Brownian Motion and Some TQFTs [arXiv:2402.05866]
Joshua Lackman, A Groupoid Construction of Functional Integrals, talk at CQTS (Feb 2024) [video:kt]
Joshua Lackman, A Mathematical Definition of Path Integrals on Symplectic Manifolds [arXiv:2406.14547]
Joshua Lackman: On an Axiomatization of Path Integral Quantization and its Equivalence to Berezin’s Quantization [arXiv:2410.02739]
On methods of quantization (geometric quantization, strict deformation quantization,…):
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