Quantization of the Torus Without Polarizations
Paper Title:
Geometric Quantization Without Polarizations
Published on:
2 May 2024
Primary Category:
Symplectic Geometry
Paper Authors:
Joshua Lackman
Bullets
Key Details
Presents polarization-free quantization justified via Poisson sigma model
Quantizes the torus to get noncommutative torus algebra
Recovers finite-dimensional representation of noncommutative torus
Discusses relating polarizations via Schur's lemma
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Quantization of the Torus Without Polarizations
This paper introduces a new approach to quantization that does not require polarizations. It is applied to quantize the torus, recovering the noncommutative torus algebra and finite-dimensional representations, without using polarizations. The method unifies other known quantization schemes.
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