2021年8月
Integrable structures of specialized hypergeometric tau functions
RIMS Kˆokyuˆroku Bessatsu
- 巻
- B87
- 号
- 開始ページ
- 57
- 終了ページ
- 78
- 記述言語
- 英語
- 掲載種別
- 研究論文(大学,研究機関等紀要)
Okounkov's generating function of the double Hurwitz numbers of the Riemann
sphere is a hypergeometric tau function of the 2D Toda hierarchy in the sense
of Orlov and Scherbin. This tau function turns into a tau function of the
lattice KP hierarchy by specializing one of the two sets of time variables to
constants. When these constants are particular values, the specialized tau
functions become solutions of various reductions of the lattice KP hierarchy,
such as the lattice Gelfand-Dickey hierarchy, the Bogoyavlensky-Itoh-Narita
lattice and the Ablowitz-Ladik hierarchy. These reductions contain previously
unknown integrable hierarchies as well.
sphere is a hypergeometric tau function of the 2D Toda hierarchy in the sense
of Orlov and Scherbin. This tau function turns into a tau function of the
lattice KP hierarchy by specializing one of the two sets of time variables to
constants. When these constants are particular values, the specialized tau
functions become solutions of various reductions of the lattice KP hierarchy,
such as the lattice Gelfand-Dickey hierarchy, the Bogoyavlensky-Itoh-Narita
lattice and the Ablowitz-Ladik hierarchy. These reductions contain previously
unknown integrable hierarchies as well.
- リンク情報
-
- arXiv
- http://arxiv.org/abs/arXiv:2002.00660
- URL
- https://arxiv.org/abs/2002.00660 本文へのリンクあり
- URL
- https://repository.kulib.kyoto-u.ac.jp/dspace/handle/2433/265529 本文へのリンクあり
- Arxiv Url
- http://arxiv.org/abs/2002.00660v1
- Arxiv Url
- http://arxiv.org/pdf/2002.00660v1 本文へのリンクあり
- ID情報
-
- arXiv ID : arXiv:2002.00660