Moyal-Weyl Star-products as Quasiconformal Mappings
Tadafumi Ohsaku
TL;DR
This paper explores the connection between Moyal-Weyl deformation quantization and quasiconformal mappings on Riemann surfaces, illustrating the relationship through various examples in complex analysis.
Contribution
It establishes a novel link between deformation quantization and quasiconformal mappings, providing new insights into their interplay on Riemann surfaces.
Findings
Demonstrates the relation through explicit examples
Highlights the role of quasiconformal mappings in deformation quantization
Provides a new perspective on complex analysis and quantum deformation
Abstract
The relation between the Moyal-Weyl deformation quantization and quasiconformal mappings of Riemann surfaces of complex analysis are shown by several examples.
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Taxonomy
TopicsHomotopy and Cohomology in Algebraic Topology · Advanced Algebra and Geometry · Advanced Topics in Algebra