On the Moduli of a quantized loop in P and KdV flows: Study of hyperelliptic curves as an extension of Euler's perspective of elastica I

Shigeki Matsutani, Yoshihiro Ônishi

Type: Preprint

Publication Date: 1998-01-01

Citations: 0

DOI: https://doi.org/10.48550/arxiv.math/9808099

View Publication

Locations

arXiv (Cornell University) - View
DataCite API - View

Similar Works

Action	Title	Year	Authors
+	On the Moduli of a Quantized Elastica in ℙ and <font>KdV</font> Flows: Study of Hyperelliptic Curves as an Extension of Euler's Perspective of Elastica I	2003	Shigeki Matsutani Yoshihiro Ônishi
+ PDF Chat	Euler's Elastica and Beyond	2012	Shigeki Matsutani
+ PDF Chat	On density of state of quantized Willmore surface - a way to a quantized extrinsic string in	1998	Shigeki Matsutani
+ PDF Chat	<b>On the new approach for the energy of elastica	2018	Talat Körpınar Rıdvan Cem Demi̇rkol
+ PDF Chat	Hyperelliptic loop solitons with genus g: investigations of a quantized elastica	2002	Shigeki Matsutani
+	Topological Strings and Quantum Curves	2009	Lotte Hollands
+	TOPOLOGICAL STRING, SUPERSYMMETRIC GAUGE THEORY AND BPS COUNTING	2012	Guang Pan
+ PDF Chat	Interplay between Opers, Quantum Curves, WKB Analysis, and Higgs Bundles	2021	Olivia Dumitrescu
+	Interplay between opers, quantum curves, WKB analysis, and Higgs bundles	2017	Olivia Dumitrescu Motohico Mulase
+	Interplay between opers, quantum curves, WKB analysis, and Higgs bundles	2017	Olivia Dumitrescu Motohico Mulase
+ PDF Chat	The Dynamics of D-branes with Dirac-Born-Infeld and Chern-Simons/Wess-Zumino Actions	2023	Boris Stoyanov
+	Integrable Systems and Moduli Spaces	2013	Dmitry Korotkin Peter Zograf
+	From $p$-Adic to Zeta Strings	2020	Бранко Драгович
+	From $p$-Adic to Zeta Strings	2020	Бранко Драгович
+ PDF Chat	Topological Strings and Quantum Curves	2009	Lotte Hollands
+ PDF Chat	From Euler’s elastica to the mKdV hierarchy, through the Faber polynomials	2016	Shigeki Matsutani Эмма Превиато
+ PDF Chat	Spectral theories and topological strings on del Pezzo geometries	2020	Sanefumi Moriyama
+ PDF Chat	Reconstructing GKZ via Topological Recursion	2019	Hiroyuki Fuji Kohei Iwaki Masahide Manabe Ikuo Satake
+	The algebro-geometric solutions for Degasperis-Procesi hierarchy	2012	Yu Hou Peng Zhao Engui Fan Zhijun Qiao
+	The global solutions of algebro-geometric type for Degasperis-Procesi hierarchy	2012	Yu Hou Peng Zhao Engui Fan Zhijun Qiao

Works That Cite This (0)

Action	Title	Year	Authors

Works Cited by This (21)

Action	Title	Year	Authors
+	Dirac Operator of a Conformal Surface Immersed in R^4: Further Generalized Weierstrass Relation	1998	Shigeki Matsutani
+	Number Theory: An approach through history from Hammurapi to Legendre	1984	André Weil
+	Soliton Equations as Dynamical Systems on Infinite Dimensional Grassmann Manifold	1983	Mikio Sato
+	Loop Spaces, Characteristic Classes and Geometric Quantization	1993	Jean-Luc Brylinski
+ PDF Chat	Cohomological structure in soliton equations and Jacobian varieties	1984	Motohico Mulase
+	Commutative Ordinary Differential Operators	1923	J. L. Burchnall T. W. Chaundy
+ PDF Chat	Loop groups and equations of KdV type	1985	Graeme Segal George Wilson
+	Poisson geometry of the filament equation	1991	Joel Langer Ron Perline
+ PDF Chat	Statistical mechanics of elastica on a plane: origin of the MKdV hierarchy	1998	Shigeki Matsutani
+	Induced Surfaces and Their Integrable Dynamics	1996	B. G. Konopelchenko