TROPICAL SPECTRAL CURVES, FAY'S TRISECANT IDENTITY, AND GENERALIZED ULTRADISCRETE TODA LATTICE

被引：1

作者：

Inoue, Rei ^{[1
]}

Iwao, Shinsuke ^{[2
]}

机构：

[1] Suzuka Univ Med Sci, Fac Pharmaceut Sci, 8500-3 Minami Tamagaki, Suzuka, Mie 5138670, Japan

[2] Univ Tokyo, Grad Sch Math Sci, Tokyo 1538914, Japan

来源：

NEW TRENDS IN QUANTUM INTEGRABLE SYSTEMS | 2011年

关键词：

Tropical geometry; Riemann's theta function; Toda lattice;

D O I：

10.1142/9789814324373_0006

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We study the generalized ultradiscrete periodic Toda lattice J(M, N) which has tropical spectral curve. We introduce a tropical analogue of Fay's trisecant identity, and apply it to construct a general solution to J(M, N).

引用

页码：101 / 116

页数：16

共 6 条

[1] A Tropical Analogue of Fay’s Trisecant Identity and the Ultra-Discrete Periodic Toda Lattice
Rei Inoue
Tomoyuki Takenawa
Communications in Mathematical Physics, 2009, 289 : 995 - 1021
[2] A Tropical Analogue of Fay's Trisecant Identity and the Ultra-Discrete Periodic Toda Lattice
Inoue, Rei
Takenawa, Tomoyuki
COMMUNICATIONS IN MATHEMATICAL PHYSICS, 2009, 289 (03) : 995 - 1021
[3] TRIPLE MASSEY PRODUCTS ON CURVES, FAY'S TRISECANT IDENTITY AND TANGENTS TO THE CANONICAL EMBEDDING
Polishchuk, A.
MOSCOW MATHEMATICAL JOURNAL, 2003, 3 (01) : 105 - 121
[4] Nonautonomous ultradiscrete hungry Toda lattice and a generalized box-ball system
Maeda, Kazuki
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 2017, 50 (36)
[5] The hierarchy of Poisson brackets for the open Toda lattice and its spectral curves
Vaninsky, K. L.
JOURNAL OF GEOMETRY AND PHYSICS, 2019, 135 : 172 - 186
[6] NONLOCAL INTEGRABLE PARTNERS TO GENERALIZED MKDV AND 2-DIMENSIONAL TODA LATTICE EQUATION IN THE FORMALISM OF A DRESSING METHOD WITH QUANTIZED SPECTRAL PARAMETER
DEGASPERIS, A
LEBEDEV, D
OLSHANETSKY, M
PAKULIAK, S
PERELOMOV, A
SANTINI, P
COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1991, 141 (01) : 133 - 151

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