nLab Joshua Lackman

• arXiv page

• MathGenealogy page

• ResearchGate page

Selected writings

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,…):

• Joshua Lackman, Geometric Quantization Without Polarizations [arXiv:2405.01513]

On Berezin quantization generalized to holomorphic symplectic manifolds:

• Joshua Lackman: Quantization of Holomorphic Symplectic Manifolds: Analytic Continuation of Path Integrals and Coherent States [arXiv:2501.05428]

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