会议论文详细信息
23rd International Conference on Integrable Systems and Quantum Symmetries | |
Dispersionless 2D Toda hierarchy, Hurwitz numbers and Riemann theorem | |
Mnatanzon, Sergey^1,2,3 | |
National Research University Higher School of Economics, 20 Myasnitskaya street, Moscow | |
101000, Russia^1 | |
Institute for Theoretical and Experimental Physics, 25 Bolshaya Cheremushkinskaya street, Moscow | |
117218, Russia^2 | |
Laboratory of Quantum Topology, Chelyabinsk State University, 129 Brat'ev Kashirinykh street, Chelyabinsk | |
454001, Russia^3 | |
关键词: Classical problems; Connected domains; Dispersionless; Symmetric solution; Toda hierarchy; | |
Others : https://iopscience.iop.org/article/10.1088/1742-6596/670/1/012036/pdf DOI : 10.1088/1742-6596/670/1/012036 |
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来源: IOP | |
【 摘 要 】
We describe all formal symmetric solutions of dispersionless 2D Toda hierarchy. This classification we use for solving of two classical problems: 1) The calculation of conformal mapping of an arbitrary simply connected domain to the standard disk; 2) Calculation of 2- Hurwitz numbers of genus 0.
【 预 览 】
Files | Size | Format | View |
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Dispersionless 2D Toda hierarchy, Hurwitz numbers and Riemann theorem | 756KB | download |