Arthamonov, S.; Harnad, J.; Hurtubise, J. Lagrangian Grassmannians, CKP hierarchy and hyperdeterminantal relations. (English) Zbl 1525.37074 Commun. Math. Phys. 401, No. 2, 1337-1381 (2023). Reviewer: Felipe Zaldívar (Ciudad de México) MSC: 37K10 37K20 37K25 37K40 35Q51 14M15 14H70 PDFBibTeX XMLCite \textit{S. Arthamonov} et al., Commun. Math. Phys. 401, No. 2, 1337--1381 (2023; Zbl 1525.37074) Full Text: DOI arXiv
Arsie, Alessandro; Buryak, Alexandr; Lorenzoni, Paolo; Rossi, Paolo Semisimple flat F-manifolds in higher genus. (English) Zbl 1517.53078 Commun. Math. Phys. 397, No. 1, 141-197 (2023). Reviewer: Pierrick Bousseau (Athens) MSC: 53D45 37K10 37K20 37K25 14N35 PDFBibTeX XMLCite \textit{A. Arsie} et al., Commun. Math. Phys. 397, No. 1, 141--197 (2023; Zbl 1517.53078) Full Text: DOI arXiv
Liu, Si-Qi; Wang, Zhe; Zhang, Youjin Variational Bihamiltonian cohomologies and integrable hierarchies. II: Virasoro symmetries. (English) Zbl 1511.37079 Commun. Math. Phys. 395, No. 1, 459-519 (2022). Reviewer: Arsen Melikyan (Brasília) MSC: 37K10 37K25 37K20 37K06 53D45 57K16 57R56 81T40 PDFBibTeX XMLCite \textit{S.-Q. Liu} et al., Commun. Math. Phys. 395, No. 1, 459--519 (2022; Zbl 1511.37079) Full Text: DOI arXiv
van Diejen, Jan Felipe; Görbe, Tamás Eigenfunctions of a discrete elliptic integrable particle model with hyperoctahedral symmetry. (English) Zbl 1496.37061 Commun. Math. Phys. 392, No. 1, 279-305 (2022). Reviewer: Mohammed El Aïdi (Bogotá) MSC: 37J35 37J38 39A70 81Q80 81U15 33C47 PDFBibTeX XMLCite \textit{J. F. van Diejen} and \textit{T. Görbe}, Commun. Math. Phys. 392, No. 1, 279--305 (2022; Zbl 1496.37061) Full Text: DOI arXiv
Bertola, M.; Tarricone, S. Stokes manifolds and cluster algebras. (English) Zbl 1484.13050 Commun. Math. Phys. 390, No. 3, 1413-1457 (2022). Reviewer: Ahmed Lesfari (El Jadida) MSC: 13F60 34M40 37K10 37K20 37K25 37K30 53D18 PDFBibTeX XMLCite \textit{M. Bertola} and \textit{S. Tarricone}, Commun. Math. Phys. 390, No. 3, 1413--1457 (2022; Zbl 1484.13050) Full Text: DOI arXiv
Arsie, Alessandro; Buryak, Alexandr; Lorenzoni, Paolo; Rossi, Paolo Flat F-manifolds, F-CohFTs, and integrable hierarchies. (English) Zbl 1489.37083 Commun. Math. Phys. 388, No. 1, 291-328 (2021). Reviewer: Dimitar A. Kolev (Sofia) MSC: 37K25 37K20 37K10 53D45 PDFBibTeX XMLCite \textit{A. Arsie} et al., Commun. Math. Phys. 388, No. 1, 291--328 (2021; Zbl 1489.37083) Full Text: DOI arXiv
Krichever, I.; Zabrodin, A. Kadomtsev-Petviashvili turning points and CKP hierarchy. (English) Zbl 1479.37071 Commun. Math. Phys. 386, No. 3, 1643-1683 (2021). Reviewer: Johanna Michor (Wien) MSC: 37K10 37K20 14H70 PDFBibTeX XMLCite \textit{I. Krichever} and \textit{A. Zabrodin}, Commun. Math. Phys. 386, No. 3, 1643--1683 (2021; Zbl 1479.37071) Full Text: DOI arXiv
Arthamonov, S.; Reshetikhin, N. Superintegrable systems on moduli spaces of flat connections. (English) Zbl 1483.37072 Commun. Math. Phys. 386, No. 3, 1337-1381 (2021). Reviewer: Ahmed Lesfari (El Jadida) MSC: 37J35 37J39 37J38 14H70 53D17 PDFBibTeX XMLCite \textit{S. Arthamonov} and \textit{N. Reshetikhin}, Commun. Math. Phys. 386, No. 3, 1337--1381 (2021; Zbl 1483.37072) Full Text: DOI arXiv
Girotti, M.; Grava, T.; Jenkins, R.; McLaughlin, K. D. T.-R. Rigorous asymptotics of a KdV soliton gas. (English) Zbl 1470.37094 Commun. Math. Phys. 384, No. 2, 733-784 (2021). Reviewer: Ivan C. Sterling (St. Mary’s City) MSC: 37K40 37K10 37K20 35Q53 35Q15 PDFBibTeX XMLCite \textit{M. Girotti} et al., Commun. Math. Phys. 384, No. 2, 733--784 (2021; Zbl 1470.37094) Full Text: DOI arXiv
Sun, Ruoci Complete integrability of the Benjamin-Ono equation on the multi-soliton manifolds. (English) Zbl 1465.35355 Commun. Math. Phys. 383, No. 2, 1051-1092 (2021). MSC: 35Q53 37K15 37K10 35C08 35A01 35A02 44A15 PDFBibTeX XMLCite \textit{R. Sun}, Commun. Math. Phys. 383, No. 2, 1051--1092 (2021; Zbl 1465.35355) Full Text: DOI arXiv
Dai, Dan; Xu, Shuai-Xia; Zhang, Lun Asymptotics of Fredholm determinant associated with the Pearcey kernel. (English) Zbl 1469.60027 Commun. Math. Phys. 382, No. 3, 1769-1809 (2021). Reviewer: Nasir N. Ganikhodjaev (Tashkent) MSC: 60B20 15B52 60K35 37K10 37K20 PDFBibTeX XMLCite \textit{D. Dai} et al., Commun. Math. Phys. 382, No. 3, 1769--1809 (2021; Zbl 1469.60027) Full Text: DOI arXiv
Bertola, Marco Correction to: “The dependence on the monodromy data of the isomonodromic tau function”. (English) Zbl 1473.37087 Commun. Math. Phys. 381, No. 3, 1445-1461 (2021). MSC: 37K15 37K20 34M50 34M55 34M56 PDFBibTeX XMLCite \textit{M. Bertola}, Commun. Math. Phys. 381, No. 3, 1445--1461 (2021; Zbl 1473.37087) Full Text: DOI
Dubrovin, Boris; Liu, Si-Qi; Yang, Di; Zhang, Youjin Hodge-GUE correspondence and the discrete KdV equation. (English) Zbl 1455.37056 Commun. Math. Phys. 379, No. 2, 461-490 (2020). Reviewer: Jipeng Cheng (Xuzhou) MSC: 37K20 37K60 37K25 37K10 39A36 58A14 PDFBibTeX XMLCite \textit{B. Dubrovin} et al., Commun. Math. Phys. 379, No. 2, 461--490 (2020; Zbl 1455.37056) Full Text: DOI arXiv
Dubrovin, Boris; Yang, Di Matrix resolvent and the discrete KdV hierarchy. (English) Zbl 1454.37065 Commun. Math. Phys. 377, No. 3, 1823-1852 (2020). Reviewer: Dmitry Pelinovsky (Hamilton) MSC: 37K10 37K20 37K25 37K60 PDFBibTeX XMLCite \textit{B. Dubrovin} and \textit{D. Yang}, Commun. Math. Phys. 377, No. 3, 1823--1852 (2020; Zbl 1454.37065) Full Text: DOI arXiv
Bonelli, Giulio; Del Monte, Fabrizio; Gavrylenko, Pavlo; Tanzini, Alessandro \(\mathcal{N} = 2^*\) gauge theory, free fermions on the torus and Painlevé VI. (English) Zbl 1444.37055 Commun. Math. Phys. 377, No. 2, 1381-1419 (2020). Reviewer: Ahmed Lesfari (El Jadida) MSC: 37K20 37K10 14H60 35Q15 14K05 81T13 PDFBibTeX XMLCite \textit{G. Bonelli} et al., Commun. Math. Phys. 377, No. 2, 1381--1419 (2020; Zbl 1444.37055) Full Text: DOI arXiv
Alexandrov, A.; Chapuy, G.; Eynard, B.; Harnad, J. Weighted Hurwitz numbers and topological recursion. (English) Zbl 1472.37078 Commun. Math. Phys. 375, No. 1, 237-305 (2020). MSC: 37K20 37K10 81Q20 PDFBibTeX XMLCite \textit{A. Alexandrov} et al., Commun. Math. Phys. 375, No. 1, 237--305 (2020; Zbl 1472.37078) Full Text: DOI arXiv
Casati, Matteo; Wang, Jing Ping A Darboux-Getzler theorem for scalar difference Hamiltonian operators. (English) Zbl 1436.58016 Commun. Math. Phys. 374, No. 3, 1497-1529 (2020). MSC: 58H15 35Q53 37K20 PDFBibTeX XMLCite \textit{M. Casati} and \textit{J. P. Wang}, Commun. Math. Phys. 374, No. 3, 1497--1529 (2020; Zbl 1436.58016) Full Text: DOI arXiv
Bernatska, Julia; Enolski, Victor; Nakayashiki, Atsushi Sato Grassmannian and degenerate sigma function. (English) Zbl 1435.14047 Commun. Math. Phys. 374, No. 2, 627-660 (2020). Reviewer: Ahmed Lesfari (El Jadida) MSC: 14M15 37K10 14H70 14H81 37K40 37K20 33E30 PDFBibTeX XMLCite \textit{J. Bernatska} et al., Commun. Math. Phys. 374, No. 2, 627--660 (2020; Zbl 1435.14047) Full Text: DOI arXiv
Cafasso, M.; Gavrylenko, P.; Lisovyy, O. Tau functions as Widom constants. (English) Zbl 1417.37245 Commun. Math. Phys. 365, No. 2, 741-772 (2019). Reviewer: Ahmed Lesfari (El Jadida) MSC: 37K20 37K10 37K30 34M56 35Q15 37B05 PDFBibTeX XMLCite \textit{M. Cafasso} et al., Commun. Math. Phys. 365, No. 2, 741--772 (2019; Zbl 1417.37245) Full Text: DOI arXiv
Belavin, Vladimir; Haraoka, Yoshishige; Santachiara, Raoul Rigid Fuchsian systems in 2-dimensional conformal field theories. (English) Zbl 1435.37083 Commun. Math. Phys. 365, No. 1, 17-60 (2019). Reviewer: Laure Gouba (Trieste) MSC: 37J37 37J38 81T40 34M03 17B68 34M15 PDFBibTeX XMLCite \textit{V. Belavin} et al., Commun. Math. Phys. 365, No. 1, 17--60 (2019; Zbl 1435.37083) Full Text: DOI arXiv
Dubrovin, Boris; Liu, Si-Qi; Zhang, Youjin Bihamiltonian cohomologies and integrable hierarchies. II: The tau structures. (English) Zbl 1403.37072 Commun. Math. Phys. 361, No. 2, 467-524 (2018). Reviewer: Tihomir Valchev (Sofia) MSC: 37K05 37K10 37K20 37K25 PDFBibTeX XMLCite \textit{B. Dubrovin} et al., Commun. Math. Phys. 361, No. 2, 467--524 (2018; Zbl 1403.37072) Full Text: DOI arXiv
Abenda, Simonetta; Grinevich, Petr G. Rational degenerations of \({\mathtt M}\)-curves, totally positive Grassmannians and KP2-solitons. (English) Zbl 1400.14094 Commun. Math. Phys. 361, No. 3, 1029-1081 (2018). Reviewer: Ahmed Lesfari (El Jadida) MSC: 14H81 14H70 37K10 37K40 37K20 14H50 14M15 PDFBibTeX XMLCite \textit{S. Abenda} and \textit{P. G. Grinevich}, Commun. Math. Phys. 361, No. 3, 1029--1081 (2018; Zbl 1400.14094) Full Text: DOI arXiv
Bachmann, Sven; De Roeck, Wojciech; Fraas, Martin The adiabatic theorem and linear response theory for extended quantum systems. (English) Zbl 1473.81080 Commun. Math. Phys. 361, No. 3, 997-1027 (2018). MSC: 81Q80 34E10 81V70 70H11 82C22 82C35 PDFBibTeX XMLCite \textit{S. Bachmann} et al., Commun. Math. Phys. 361, No. 3, 997--1027 (2018; Zbl 1473.81080) Full Text: DOI arXiv
Bizoń, Piotr; Craps, Ben; Evnin, Oleg; Hunik, Dominika; Luyten, Vincent; Maliborski, Maciej Conformal flow on \(\mathrm{S}^{3}\) and weak field integrability in \(\mathrm{AdS}_{4}\). (English) Zbl 1378.35300 Commun. Math. Phys. 353, No. 3, 1179-1199 (2017). Reviewer: Alessandro Selvitella (Ottawa) MSC: 35Q75 35Q55 35B35 83C20 83F05 37K10 PDFBibTeX XMLCite \textit{P. Bizoń} et al., Commun. Math. Phys. 353, No. 3, 1179--1199 (2017; Zbl 1378.35300) Full Text: DOI arXiv
Carlet, Guido; Posthuma, Hessel; Shadrin, Sergey Bihamiltonian cohomology of KdV brackets. (English) Zbl 1362.37124 Commun. Math. Phys. 341, No. 3, 805-819 (2016). Reviewer: Vladislav Nikolaevich Dumachev (Voronezh) MSC: 37K10 35Q53 37K20 20J06 PDFBibTeX XMLCite \textit{G. Carlet} et al., Commun. Math. Phys. 341, No. 3, 805--819 (2016; Zbl 1362.37124) Full Text: DOI arXiv Link
Bobenko, A. I.; Suris, Yu. B. Discrete pluriharmonic functions as solutions of linear pluri-Lagrangian systems. (English) Zbl 1348.37098 Commun. Math. Phys. 336, No. 1, 199-215 (2015). MSC: 37K05 37K20 39A12 31C05 31C20 32U05 58E30 PDFBibTeX XMLCite \textit{A. I. Bobenko} and \textit{Yu. B. Suris}, Commun. Math. Phys. 336, No. 1, 199--215 (2015; Zbl 1348.37098) Full Text: DOI arXiv
Kodama, Yuji; Williams, Lauren The full Kostant-Toda hierarchy on the positive flag variety. (English) Zbl 1319.37048 Commun. Math. Phys. 335, No. 1, 247-283 (2015). Reviewer: Vladislav Nikolaevich Dumachev (Voronezh) MSC: 37K20 14M15 52B12 PDFBibTeX XMLCite \textit{Y. Kodama} and \textit{L. Williams}, Commun. Math. Phys. 335, No. 1, 247--283 (2015; Zbl 1319.37048) Full Text: DOI arXiv
Bertola, M. The dependence on the monodromy data of the isomonodromic tau function. (English) Zbl 1218.37099 Commun. Math. Phys. 294, No. 2, 539-579 (2010); correction ibid. 381, No. 3, 1445-1461 (2021). Reviewer: Dimitar A. Kolev (Sofia) MSC: 37K15 37K20 34M50 34M55 34M56 PDFBibTeX XMLCite \textit{M. Bertola}, Commun. Math. Phys. 294, No. 2, 539--579 (2010; Zbl 1218.37099) Full Text: DOI arXiv Link
Tsuda, Teruhisa On an integrable system of \(q\)-difference equations satisfied by the universal characters: its Lax formalism and an application to \(q\)-Painlevé equations. (English) Zbl 1215.39010 Commun. Math. Phys. 293, No. 2, 347-359 (2010). Reviewer: Ahmed Hegazi (Mansoura) MSC: 39A13 37K10 37K60 39A12 34M55 33E17 PDFBibTeX XMLCite \textit{T. Tsuda}, Commun. Math. Phys. 293, No. 2, 347--359 (2010; Zbl 1215.39010) Full Text: DOI arXiv
Lindström, Ulf; Roček, Martin Properties of hyper-kähler manifolds and their twistor spaces. (English) Zbl 1192.53053 Commun. Math. Phys. 293, No. 1, 257-278 (2010). MSC: 53C26 53C28 PDFBibTeX XMLCite \textit{U. Lindström} and \textit{M. Roček}, Commun. Math. Phys. 293, No. 1, 257--278 (2010; Zbl 1192.53053) Full Text: DOI arXiv
Yagdjian, Karen; Galstian, Anahit Fundamental solutions for the Klein-Gordon equation in de Sitter spacetime. (English) Zbl 1228.81180 Commun. Math. Phys. 285, No. 1, 293-344 (2009). MSC: 81R05 81Q35 70H40 35A08 PDFBibTeX XMLCite \textit{K. Yagdjian} and \textit{A. Galstian}, Commun. Math. Phys. 285, No. 1, 293--344 (2009; Zbl 1228.81180) Full Text: DOI arXiv
Dunajski, Maciej; Plansangkate, Prim Strominger-Yau-Zaslow geometry, affine spheres and Painlevé III. (English) Zbl 1191.14051 Commun. Math. Phys. 290, No. 3, 997-1024 (2009). Reviewer: Valentino Tosatti (New York) MSC: 14J33 32Q25 34M55 37K20 PDFBibTeX XMLCite \textit{M. Dunajski} and \textit{P. Plansangkate}, Commun. Math. Phys. 290, No. 3, 997--1024 (2009; Zbl 1191.14051) Full Text: DOI arXiv
Ferguson, James T.; Strachan, Ian A. B. Logarithmic deformations of the rational superpotential/Landau-Ginzburg construction of solutions of the WDVV equations. (English) Zbl 1148.53067 Commun. Math. Phys. 280, No. 1, 1-25 (2008). MSC: 53D45 37K10 81R12 37K20 PDFBibTeX XMLCite \textit{J. T. Ferguson} and \textit{I. A. B. Strachan}, Commun. Math. Phys. 280, No. 1, 1--25 (2008; Zbl 1148.53067) Full Text: DOI arXiv Link
Dubrovin, Boris; Mazzocco, Marta Canonical structure and symmetries of the Schlesinger equations. (English) Zbl 1146.32005 Commun. Math. Phys. 271, No. 2, 289-373 (2007). Reviewer: Valentina Golubeva (Moskva) MSC: 32G34 14H70 34M50 34M55 37J35 37K20 PDFBibTeX XMLCite \textit{B. Dubrovin} and \textit{M. Mazzocco}, Commun. Math. Phys. 271, No. 2, 289--373 (2007; Zbl 1146.32005) Full Text: DOI arXiv
Pavlov, Maxim V. Algebro-geometric approach in the theory of integrable hydrodynamic type systems. (English) Zbl 1131.37065 Commun. Math. Phys. 272, No. 2, 469-505 (2007). Reviewer: Iskander A. Taimanov (Novosibirsk) MSC: 37K20 37K10 PDFBibTeX XMLCite \textit{M. V. Pavlov}, Commun. Math. Phys. 272, No. 2, 469--505 (2007; Zbl 1131.37065) Full Text: DOI arXiv
Inoue, Rei; Yamazaki, Takao Cohomological study on variants of the Mumford system, and integrability of the Noumi-Yamada system. (English) Zbl 1170.37332 Commun. Math. Phys. 265, No. 3, 699-719 (2006). MSC: 37K20 14H40 14H70 PDFBibTeX XMLCite \textit{R. Inoue} and \textit{T. Yamazaki}, Commun. Math. Phys. 265, No. 3, 699--719 (2006; Zbl 1170.37332) Full Text: DOI arXiv
Bertola, M.; Eynard, B.; Harnad, J. Semiclassical orthogonal polynomials, matrix models and isomonodromic tau functions. (English) Zbl 1131.82306 Commun. Math. Phys. 263, No. 2, 401-437 (2006). MSC: 82B44 34M55 37K20 PDFBibTeX XMLCite \textit{M. Bertola} et al., Commun. Math. Phys. 263, No. 2, 401--437 (2006; Zbl 1131.82306) Full Text: DOI arXiv
Prokhorov, Dmitri; Vasil’ev, Alexander Univalent functions and integrable systems. (English) Zbl 1103.37045 Commun. Math. Phys. 262, No. 2, 393-410 (2006). MSC: 37K20 30C55 30C50 PDFBibTeX XMLCite \textit{D. Prokhorov} and \textit{A. Vasil'ev}, Commun. Math. Phys. 262, No. 2, 393--410 (2006; Zbl 1103.37045) Full Text: DOI arXiv
Białecki, Mariusz; Doliwa, Adam Algebro-geometric solution of the discrete KP equation over a finite field out of a hyperelliptic curve. (English) Zbl 1107.37060 Commun. Math. Phys. 253, No. 1, 157-170 (2005). Reviewer: Jan Chrastina (Brno) MSC: 37K20 14H70 37K10 35Q53 PDFBibTeX XMLCite \textit{M. Białecki} and \textit{A. Doliwa}, Commun. Math. Phys. 253, No. 1, 157--170 (2005; Zbl 1107.37060) Full Text: DOI arXiv
Tsuda, Teruhisa Universal characters and \(q\)-Painlevé systems. (English) Zbl 1093.39020 Commun. Math. Phys. 260, No. 1, 59-73 (2005). Reviewer: Jacques Sauloy (Toulouse) MSC: 39A13 39A12 37K10 34M55 PDFBibTeX XMLCite \textit{T. Tsuda}, Commun. Math. Phys. 260, No. 1, 59--73 (2005; Zbl 1093.39020) Full Text: DOI
Takemura, Kouichi The Heun equation and the Calogero-Moser-Sutherland system. IV: The Hermite-Krichever ansatz. (English) Zbl 1088.81056 Commun. Math. Phys. 258, No. 2, 367-403 (2005). Reviewer: Boris V. Loginov (Ul’yanovsk) MSC: 81R12 37K10 37K20 34M35 33E05 33E20 PDFBibTeX XMLCite \textit{K. Takemura}, Commun. Math. Phys. 258, No. 2, 367--403 (2005; Zbl 1088.81056) Full Text: DOI arXiv
Wehrheim, Katrin Anti-self-dual instantons with Lagrangian boundary conditions. II: Bubbling. (English) Zbl 1088.53013 Commun. Math. Phys. 258, No. 2, 275-315 (2005). Reviewer: Massimiliano Ferrara (Messina) MSC: 53C07 53D40 PDFBibTeX XMLCite \textit{K. Wehrheim}, Commun. Math. Phys. 258, No. 2, 275--315 (2005; Zbl 1088.53013) Full Text: DOI arXiv
Geronimo, Jeffrey S.; Gesztesy, Fritz; Holden, Helge Algebro-geometric solutions of the Baxter-Szegő difference equation. (English) Zbl 1080.37075 Commun. Math. Phys. 258, No. 1, 149-177 (2005). MSC: 37K20 33E05 39A10 PDFBibTeX XMLCite \textit{J. S. Geronimo} et al., Commun. Math. Phys. 258, No. 1, 149--177 (2005; Zbl 1080.37075) Full Text: DOI
Khesin, B.; Levin, A.; Olshanetsky, M. Bihamiltonian structures and quadratic algebras in hydrodynamics and on non-commutative torus. (English) Zbl 1074.37032 Commun. Math. Phys. 250, No. 3, 581-612 (2004). MSC: 37K05 37K10 37K20 37N10 81R60 PDFBibTeX XMLCite \textit{B. Khesin} et al., Commun. Math. Phys. 250, No. 3, 581--612 (2004; Zbl 1074.37032) Full Text: DOI arXiv
Kuniba, A.; Okado, M.; Takagi, T.; Yamada, Y. Tropical \(R\) and tau functions. (English) Zbl 1085.17017 Commun. Math. Phys. 245, No. 3, 491-517 (2004). MSC: 17B67 17B69 37K10 37K20 81R12 PDFBibTeX XMLCite \textit{A. Kuniba} et al., Commun. Math. Phys. 245, No. 3, 491--517 (2004; Zbl 1085.17017) Full Text: DOI arXiv
Valent, Galliano Integrability versus separability for the multi-centre metrics. (English) Zbl 1069.53044 Commun. Math. Phys. 244, No. 3, 571-594 (2004). Reviewer: Jarek Kedra (Aberdeen) MSC: 53C25 37J35 70H06 PDFBibTeX XMLCite \textit{G. Valent}, Commun. Math. Phys. 244, No. 3, 571--594 (2004; Zbl 1069.53044) Full Text: DOI arXiv
Qiao, Zhijun The Camassa-Holm hierarchy, \(N\)-dimensional integrable systems, and algebro-geometric solution on a symplectic submanifold. (English) Zbl 1020.37046 Commun. Math. Phys. 239, No. 1-2, 309-341 (2003). MSC: 37K10 37K20 53D05 PDFBibTeX XMLCite \textit{Z. Qiao}, Commun. Math. Phys. 239, No. 1--2, 309--341 (2003; Zbl 1020.37046) Full Text: DOI
Levin, A. M.; Olshanetsky, M. A.; Zotov, A. Hitchin systems – symplectic Hecke correspondence and two-dimensional version. (English) Zbl 1088.14008 Commun. Math. Phys. 236, No. 1, 93-133 (2003). MSC: 14H70 14H60 32G13 33E05 37K20 81R12 PDFBibTeX XMLCite \textit{A. M. Levin} et al., Commun. Math. Phys. 236, No. 1, 93--133 (2003; Zbl 1088.14008) Full Text: DOI arXiv
Hurtubise, J. C.; Markman, E. Surfaces and the Sklyanin bracket. (English) Zbl 1041.37034 Commun. Math. Phys. 230, No. 3, 485-502 (2002). MSC: 37K10 14C05 37J35 37K30 37K20 PDFBibTeX XMLCite \textit{J. C. Hurtubise} and \textit{E. Markman}, Commun. Math. Phys. 230, No. 3, 485--502 (2002; Zbl 1041.37034) Full Text: DOI arXiv
Mason, L. J.; Singer, M. A.; Woodhouse, N. M. J. Tau-functions, twistor theory, and quantum field theory. (English) Zbl 1027.37043 Commun. Math. Phys. 230, No. 3, 389-420 (2002). MSC: 37K10 32L25 81R25 81R12 81T40 37K20 PDFBibTeX XMLCite \textit{L. J. Mason} et al., Commun. Math. Phys. 230, No. 3, 389--420 (2002; Zbl 1027.37043) Full Text: DOI arXiv
Krichever, I. Vector bundles and Lax equations on algebraic curves. (English) Zbl 1073.14048 Commun. Math. Phys. 229, No. 2, 229-269 (2002). MSC: 14H70 14H60 33E05 37J35 37K20 81R12 PDFBibTeX XMLCite \textit{I. Krichever}, Commun. Math. Phys. 229, No. 2, 229--269 (2002; Zbl 1073.14048) Full Text: DOI arXiv
Sakai, Hidetaka Rational surfaces associated with affine root systems and geometry of the Painlevé equations. (English) Zbl 1010.34083 Commun. Math. Phys. 220, No. 1, 165-229 (2001). Reviewer: A.Pickering (Salamanca) MSC: 34M55 37K35 37K10 PDFBibTeX XMLCite \textit{H. Sakai}, Commun. Math. Phys. 220, No. 1, 165--229 (2001; Zbl 1010.34083) Full Text: DOI
Alber, Mark S.; Camassa, Roberto; Fedorov, Yuri N.; Holm, Darryl D.; Marsden, Jerrold E. The complex geometry of weak piecewise smooth solutions of integrable nonlinear PDE’s of shallow water and Dym type. (English) Zbl 1001.37062 Commun. Math. Phys. 221, No. 1, 197-227 (2001). Reviewer: Messoud Efendiev (Berlin) MSC: 37K10 14H70 35Q53 35Q55 37J35 37K20 PDFBibTeX XMLCite \textit{M. S. Alber} et al., Commun. Math. Phys. 221, No. 1, 197--227 (2001; Zbl 1001.37062) Full Text: DOI arXiv
Fernandes, Rui Loja; Vanhaecke, Pol Hyperelliptic Prym varieties and integrable systems. (English) Zbl 0991.37038 Commun. Math. Phys. 221, No. 1, 169-196 (2001). Reviewer: Messoud Efendiev (Berlin) MSC: 37J35 14H70 37K20 14H40 PDFBibTeX XMLCite \textit{R. L. Fernandes} and \textit{P. Vanhaecke}, Commun. Math. Phys. 221, No. 1, 169--196 (2001; Zbl 0991.37038) Full Text: DOI arXiv
Ramani, A.; Grammaticos, B.; Ohta, Y. A geometrical description of the discrete Painlevé VI and V equations. (English) Zbl 0980.39010 Commun. Math. Phys. 217, No. 2, 315-329 (2001). Reviewer: Pavel Talpalaru (Iaşi) MSC: 39A13 39A12 37J99 34M55 17B80 PDFBibTeX XMLCite \textit{A. Ramani} et al., Commun. Math. Phys. 217, No. 2, 315--329 (2001; Zbl 0980.39010) Full Text: DOI
Nakayashiki, A.; Smirnov, F. A. Cohomologies of affine hyperelliptic Jacobi varieties and integrable systems. (English) Zbl 0987.14021 Commun. Math. Phys. 217, No. 3, 623-652 (2001). Reviewer: Viorel Iftimie (Bucureşti) MSC: 14H40 37K20 14H70 PDFBibTeX XMLCite \textit{A. Nakayashiki} and \textit{F. A. Smirnov}, Commun. Math. Phys. 217, No. 3, 623--652 (2001; Zbl 0987.14021) Full Text: DOI arXiv
Dunajski, Maciej; Mason, Lionel J. Hyper-Kähler hierarchies and their twistor theory. (English) Zbl 0988.53021 Commun. Math. Phys. 213, No. 3, 641-672 (2000). Reviewer: Gueo Grantcharov (Storrs) MSC: 53C28 37K10 37K25 53C26 83C60 PDFBibTeX XMLCite \textit{M. Dunajski} and \textit{L. J. Mason}, Commun. Math. Phys. 213, No. 3, 641--672 (2000; Zbl 0988.53021) Full Text: DOI arXiv
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Dancer, Andrew; Wang, McKenzie Y. Integrable cases of the Einstein equations. (English) Zbl 0958.83007 Commun. Math. Phys. 208, No. 1, 225-243 (1999). Reviewer: Dimitar A.Kolev (Sofia) MSC: 83C05 53C25 70H05 70H06 83C15 PDFBibTeX XMLCite \textit{A. Dancer} and \textit{M. Y. Wang}, Commun. Math. Phys. 208, No. 1, 225--243 (1999; Zbl 0958.83007) Full Text: DOI
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Leung, Nai-Chung Conan Symplectic structures on gauge theory. (English) Zbl 0912.53021 Commun. Math. Phys. 193, No. 1, 47-67 (1998). Reviewer: Hans-Peter Künzle (Edmonton/Alberta) MSC: 53C15 58J60 37J99 81T13 58A10 57R15 PDFBibTeX XMLCite \textit{N.-C. C. Leung}, Commun. Math. Phys. 193, No. 1, 47--67 (1998; Zbl 0912.53021) Full Text: DOI
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Ruijsenaars, S. N. M. Complete integrability of relativistic Calogero-Moser systems and elliptic function identities. (English) Zbl 0673.58024 Commun. Math. Phys. 110, 191-213 (1987). Reviewer: H.H.Torriani MSC: 37J35 37K10 81S99 33E05 15A15 PDFBibTeX XMLCite \textit{S. N. M. Ruijsenaars}, Commun. Math. Phys. 110, 191--213 (1987; Zbl 0673.58024) Full Text: DOI