Takasaki, Kanehisa Generalized ILW hierarchy: solutions and limit to extended lattice GD hierarchy. (English) Zbl 1522.37080 J. Phys. A, Math. Theor. 56, No. 16, Article ID 165201, 25 p. (2023). Reviewer: Tihomir Valchev (Sofia) MSC: 37K10 37K60 39A14 37K25 53D45 PDFBibTeX XMLCite \textit{K. Takasaki}, J. Phys. A, Math. Theor. 56, No. 16, Article ID 165201, 25 p. (2023; Zbl 1522.37080) Full Text: DOI arXiv
Takasaki, Kanehisa Extended lattice Gelfand-Dickey hierarchy. (English) Zbl 1507.37101 J. Phys. A, Math. Theor. 55, No. 30, Article ID 305203, 14 p. (2022). MSC: 37K60 37K10 39A36 PDFBibTeX XMLCite \textit{K. Takasaki}, J. Phys. A, Math. Theor. 55, No. 30, Article ID 305203, 14 p. (2022; Zbl 1507.37101) Full Text: DOI arXiv
Takasaki, Kanehisa Dressing operators in equivariant Gromov-Witten theory of \(\mathbb{CP}^1\). (English) Zbl 1505.37084 J. Phys. A, Math. Theor. 54, No. 35, Article ID 35LT02, 12 p. (2021). MSC: 37K10 37K20 37K25 53D45 14N35 PDFBibTeX XMLCite \textit{K. Takasaki}, J. Phys. A, Math. Theor. 54, No. 35, Article ID 35LT02, 12 p. (2021; Zbl 1505.37084) Full Text: DOI arXiv
Takasaki, Kanehisa Integrable structures of specialized hypergeometric tau functions. (English) Zbl 1508.37100 RIMS Kôkyûroku Bessatsu B87, 57-78 (2021). MSC: 37K60 39A36 37K10 37K20 33C80 05E05 PDFBibTeX XMLCite \textit{K. Takasaki}, RIMS Kôkyûroku Bessatsu B87, 57--78 (2021; Zbl 1508.37100) Full Text: arXiv Link
Takasaki, Kanehisa Cubic Hodge integrals and integrable hierarchies of Volterra type. (English) Zbl 1477.37077 Novikov, Sergey (ed.) et al., Integrability, quantization, and geometry I. Integrable systems. Dedicated to the memory of Boris Dubrovin 1950–2019. Providence, RI: American Mathematical Society (AMS). Proc. Symp. Pure Math. 103, Part 1, 481-502 (2021). MSC: 37K10 37K25 37K30 14N35 53D45 PDFBibTeX XMLCite \textit{K. Takasaki}, Proc. Symp. Pure Math. 103, 481--502 (2021; Zbl 1477.37077) Full Text: arXiv
Takasaki, Kanehisa 4D limit of melting crystal model and its integrable structure. (English) Zbl 1426.14010 J. Geom. Phys. 137, 184-203 (2019). Reviewer: Vladislav Nikolaevich Dumachev (Voronezh) MSC: 14H81 14N35 37K10 81V19 82D25 39A13 PDFBibTeX XMLCite \textit{K. Takasaki}, J. Geom. Phys. 137, 184--203 (2019; Zbl 1426.14010) Full Text: DOI arXiv
Takasaki, Kanehisa Toda hierarchies and their applications. (English) Zbl 1406.37053 J. Phys. A, Math. Theor. 51, No. 20, Article ID 203001, 35 p. (2018). Reviewer: Luen-Chau Li (University Park) MSC: 37K10 37K05 PDFBibTeX XMLCite \textit{K. Takasaki}, J. Phys. A, Math. Theor. 51, No. 20, Article ID 203001, 35 p. (2018; Zbl 1406.37053) Full Text: DOI arXiv
Takasaki, Kanehisa Hurwitz numbers and integrable hierarchy of Volterra type. arXiv:1807.00085 Preprint, arXiv:1807.00085 [math-ph] (2018). MSC: 14N10 37K10 BibTeX Cite \textit{K. Takasaki}, ``Hurwitz numbers and integrable hierarchy of Volterra type'', Preprint, arXiv:1807.00085 [math-ph] (2018) Full Text: DOI arXiv OA License
Takasaki, Kanehisa Orbifold melting crystal models and reductions of Toda hierarchy. (English) Zbl 1394.82020 J. Phys. A, Math. Theor. 48, No. 21, Article ID 215201, 34 p. (2015). MSC: 82D25 37K10 82B20 PDFBibTeX XMLCite \textit{K. Takasaki}, J. Phys. A, Math. Theor. 48, No. 21, Article ID 215201, 34 p. (2015; Zbl 1394.82020) Full Text: DOI arXiv
Kimura, Tatsuo (ed.) [Andronikof, Emmanuel; Hitotsumatsu, Shin; Sogawa, Harue; Kimura, Tatsuo; Miwa, Tetsuji; Noumi, Masatoshi; Takasaki, Kanehisa; Ueno, Kenji; Kawai, Takahiro; Takei, Yoshitsugu; Namba, Kanji; Kurokawa, Nobushige; Sugiura, Mitsuo; Enomoto, Hikoe] Mathematics of Mikio Sato. 2nd enlarged ed. (Satō Mikio no sūgaku.) (Japanese) Zbl 1394.01001 Tokyo: Nihonhyouronsha (ISBN 978-4-535-78587-8). 490 p. (2014). Reviewer: Hirokazu Nishimura (Tsukuba) MSC: 01-01 01A60 01A70 PDFBibTeX XMLCite \textit{T. Kimura} (ed.), Satō Mikio no sūgaku (Japanese). 2nd enlarged ed. Tokyo: Nihonhyouronsha (2014; Zbl 1394.01001)
Takasaki, Kanehisa Generalized Ablowitz-Ladik hierarchy in topological string theory. (English) Zbl 1288.81122 J. Phys. A, Math. Theor. 47, No. 16, Article ID 165201, 19 p. (2014). MSC: 81T30 17B80 35Q55 37K10 PDFBibTeX XMLCite \textit{K. Takasaki}, J. Phys. A, Math. Theor. 47, No. 16, Article ID 165201, 19 p. (2014; Zbl 1288.81122) Full Text: DOI arXiv
Takasaki, Kanehisa A modified melting crystal model and the Ablowitz-Ladik hierarchy. (English) Zbl 1269.82014 J. Phys. A, Math. Theor. 46, No. 24, Article ID 245202, 23 p. (2013). MSC: 82B20 17B65 35Q55 81T30 37K10 82D25 PDFBibTeX XMLCite \textit{K. Takasaki}, J. Phys. A, Math. Theor. 46, No. 24, Article ID 245202, 23 p. (2013; Zbl 1269.82014) Full Text: DOI arXiv
Takasaki, Kanehisa Remarks on partition functions of topological string theory on generalized conifolds. arXiv:1301.4548 Preprint, arXiv:1301.4548 [math-ph] (2013). MSC: 05E05 37K10 81T30 BibTeX Cite \textit{K. Takasaki}, ``Remarks on partition functions of topological string theory on generalized conifolds'', Preprint, arXiv:1301.4548 [math-ph] (2013) Full Text: arXiv OA License
Takasaki, Kanehisa Modified melting crystal model and Ablowitz-Ladik hierarchy. arXiv:1312.7276 Preprint, arXiv:1312.7276 [math-ph] (2013). MSC: 17B65 35Q55 81T30 82B20 BibTeX Cite \textit{K. Takasaki}, ``Modified melting crystal model and Ablowitz-Ladik hierarchy'', Preprint, arXiv:1312.7276 [math-ph] (2013) Full Text: DOI arXiv OA License
Takasaki, Kanehisa Old and new reductions of dispersionless Toda hierarchy. (English) Zbl 1291.35311 SIGMA, Symmetry Integrability Geom. Methods Appl. 8, Paper 102, 22 p. (2012). MSC: 35Q53 37K10 53D45 53B50 PDFBibTeX XMLCite \textit{K. Takasaki}, SIGMA, Symmetry Integrability Geom. Methods Appl. 8, Paper 102, 22 p. (2012; Zbl 1291.35311) Full Text: DOI arXiv
Takasaki, Kanehisa Generalized string equations for double Hurwitz numbers. (English) Zbl 1255.14046 J. Geom. Phys. 62, No. 5, 1135-1156 (2012). Reviewer: Martin Schlichenmaier (Luxembourg) MSC: 14N10 35Q53 37K10 81R12 PDFBibTeX XMLCite \textit{K. Takasaki}, J. Geom. Phys. 62, No. 5, 1135--1156 (2012; Zbl 1255.14046) Full Text: DOI arXiv
Takasaki, Kanehisa Integrable structure of modified melting crystal model. arXiv:1208.4497 Preprint, arXiv:1208.4497 [math-ph] (2012). MSC: 17B65 35Q58 82B20 BibTeX Cite \textit{K. Takasaki}, ``Integrable structure of modified melting crystal model'', Preprint, arXiv:1208.4497 [math-ph] (2012) Full Text: arXiv OA License
Takasaki, Kanehisa Differential Fay identities and auxiliary linear problem of integrable hierarchies. (English) Zbl 1259.37043 Hasegawa, Koji (ed.) et al., Exploring new structures and natural constructions in mathematical physics. Collected papers of the conference upon the occasion of the retirement of Professor Akihiro Tsuchiya, Nagoya, Japan, March 5–8, 2007. Tokyo: Mathematical Society of Japan (ISBN 978-4-931469-64-8/hbk). Advanced Studies in Pure Mathematics 61, 387-441 (2011). Reviewer: Dafeng Zuo (Hefei) MSC: 37K10 PDFBibTeX XMLCite \textit{K. Takasaki}, Adv. Stud. Pure Math. 61, 387--441 (2011; Zbl 1259.37043) Full Text: arXiv
Takasaki, Kanehisa KP and Toda tau functions in Bethe ansatz. (English) Zbl 1221.82034 Feigin, Boris (ed.) et al., New trends in quantum integrable systems. Proceedings of the infinite analysis 09, Kyoto, Japan, 27–31, July 2009. Dedicated to Tetsuji Miwa on the occasion on his 60th birthday. Hackensack, NJ: World Scientific (ISBN 978-981-4324-36-6/hbk; 978-981-4324-37-3/ebook). 373-391 (2011). MSC: 82B20 82B23 37K10 PDFBibTeX XMLCite \textit{K. Takasaki}, in: New trends in quantum integrable systems. Proceedings of the infinite analysis 09, Kyoto, Japan, 27--31, July 2009. Dedicated to Tetsuji Miwa on the occasion on his 60th birthday. Hackensack, NJ: World Scientific. 373--391 (2011; Zbl 1221.82034) Full Text: arXiv
Takasaki, Kanehisa Toda tau functions with quantum torus symmetries. arXiv:1101.4083 Preprint, arXiv:1101.4083 [math-ph] (2011). BibTeX Cite \textit{K. Takasaki}, ``Toda tau functions with quantum torus symmetries'', Preprint, arXiv:1101.4083 [math-ph] (2011) Full Text: arXiv OA License
Takasaki, Kanehisa Two extensions of 1D Toda hierarchy. (English) Zbl 1202.35200 J. Phys. A, Math. Theor. 43, No. 43, Article ID 434032, 15 p. (2010). MSC: 35Q51 37K10 35A30 PDFBibTeX XMLCite \textit{K. Takasaki}, J. Phys. A, Math. Theor. 43, No. 43, Article ID 434032, 15 p. (2010; Zbl 1202.35200) Full Text: DOI arXiv
Takasaki, Kanehisa Auxiliary linear problem, difference Fay identities and dispersionless limit of Pfaff-Toda hierarchy. (English) Zbl 1189.37071 SIGMA, Symmetry Integrability Geom. Methods Appl. 5, Paper 109, 34 p. (2009). MSC: 37K10 35Q53 PDFBibTeX XMLCite \textit{K. Takasaki}, SIGMA, Symmetry Integrability Geom. Methods Appl. 5, Paper 109, 34 p. (2009; Zbl 1189.37071) Full Text: DOI arXiv EuDML EMIS
Takasaki, Kanehisa Integrable structure of melting crystal model with two \(q\)-parameters. (English) Zbl 1177.35049 J. Geom. Phys. 59, No. 9, 1244-1257 (2009). MSC: 35C05 37K10 82B99 82D25 76P05 PDFBibTeX XMLCite \textit{K. Takasaki}, J. Geom. Phys. 59, No. 9, 1244--1257 (2009; Zbl 1177.35049) Full Text: DOI arXiv
Takasaki, Kanehisa Hamiltonian structure of pi hierarchy. (English) Zbl 1147.34065 SIGMA, Symmetry Integrability Geom. Methods Appl. 3, Paper 042, 32 p. (2007). Reviewer: Andrei A. Kapaev (St. Petersburg) MSC: 34M55 37K20 PDFBibTeX XMLCite \textit{K. Takasaki}, SIGMA, Symmetry Integrability Geom. Methods Appl. 3, Paper 042, 32 p. (2007; Zbl 1147.34065) Full Text: DOI arXiv EuDML EMIS
Takasaki, Kanehisa Dispersionless Hirota equations of two-component BKP hierarchy. (English) Zbl 1152.37339 SIGMA, Symmetry Integrability Geom. Methods Appl. 2, Paper 057, 22 p. (2006). MSC: 37K10 35Q58 PDFBibTeX XMLCite \textit{K. Takasaki}, SIGMA, Symmetry Integrability Geom. Methods Appl. 2, Paper 057, 22 p. (2006; Zbl 1152.37339) Full Text: DOI arXiv EuDML EMIS
Takasaki, Kanehisa Elliptic spectral parameter and infinite-dimensional Grassmann variety. (English) Zbl 1135.37329 Kulish, Petr P. (ed.) et al., Infinite dimensional algebras and quantum integrable systems. Papers from the 14th international congress on mathematical physics satellite workshop, Faro, Portugal, July 21–25, 2003. Basel: Birkhäuser (ISBN 3-7643-7215-X/hbk). Progress in Mathematics 237, 175-203 (2005). MSC: 37K10 37K65 35Q55 PDFBibTeX XMLCite \textit{K. Takasaki}, Prog. Math. 237, 175--203 (2005; Zbl 1135.37329) Full Text: arXiv
Takasaki, Kanehisa \(q\)-analogue of modified KP hierarchy and its quasi-classical limit. (English) Zbl 1084.35099 Lett. Math. Phys. 72, No. 3, 165-181 (2005). MSC: 35Q58 37K10 37K60 33D99 PDFBibTeX XMLCite \textit{K. Takasaki}, Lett. Math. Phys. 72, No. 3, 165--181 (2005; Zbl 1084.35099) Full Text: DOI arXiv
Takasaki, Kanehisa Tyurin parameters of commuting pairs and infinite dimensional Grassmann manifold. arXiv:nlin/0505005 Preprint, arXiv:nlin/0505005 [nlin.SI] (2005). BibTeX Cite \textit{K. Takasaki}, ``Tyurin parameters of commuting pairs and infinite dimensional Grassmann manifold'', Preprint, arXiv:nlin/0505005 [nlin.SI] (2005) Full Text: arXiv
Takasaki, Kanehisa Integrable systems whose spectral curves are the graph of a function. (English) Zbl 1070.37042 Tempesta, P. (ed.) et al., Superintegrability in classical and quantum systems. Proceedings of a workshop, Montréal, Canada, September 16–21, 2002 . Providence, RI: American Mathematical Society (AMS) (ISBN 0-8218-3329-4/pbk). CRM Proceedings and Lecture Notes 37, 211-222 (2004). Reviewer: Shigeki Matsutani (Kanagawa) MSC: 37J35 53D20 70H06 37K10 14H70 PDFBibTeX XMLCite \textit{K. Takasaki}, in: Superintegrability in classical and quantum systems. Proceedings of a workshop, Montréal, Canada, September 16--21, 2002. Providence, RI: American Mathematical Society (AMS). 211--222 (2004; Zbl 1070.37042) Full Text: arXiv
Takasaki, Kanehisa Tyurin parameters and elliptic analogue of nonlinear Schrödinger hierarchy. (English) Zbl 1072.35174 J. Math. Sci., Tokyo 11, No. 2, 91-131 (2004). Reviewer: Boris V. Loginov (Ul’yanovsk) MSC: 35Q58 37K10 35Q55 37K20 PDFBibTeX XMLCite \textit{K. Takasaki}, J. Math. Sci., Tokyo 11, No. 2, 91--131 (2004; Zbl 1072.35174) Full Text: arXiv
Takasaki, Kanehisa Landau-Lifshitz hierarchy and infinite-dimensional Grassmann variety. (English) Zbl 1048.37061 Lett. Math. Phys. 67, No. 2, 141-152 (2004). MSC: 37K10 35Q51 35A30 37K20 PDFBibTeX XMLCite \textit{K. Takasaki}, Lett. Math. Phys. 67, No. 2, 141--152 (2004; Zbl 1048.37061) Full Text: DOI arXiv
Takasaki, Kanehisa Spectral curve and Hamiltonian structure of isomonodromic \(\text{SU}(2)\) Calogero-Gaudin system. (English) Zbl 1062.37056 J. Math. Phys. 44, No. 9, 3979-3999 (2003). MSC: 37J35 34M35 34M55 70H06 81R12 PDFBibTeX XMLCite \textit{K. Takasaki}, J. Math. Phys. 44, No. 9, 3979--3999 (2003; Zbl 1062.37056) Full Text: DOI arXiv
Takasaki, Kanehisa Spectral curve, Darboux coordinates and Hamiltonian structure of periodic dressing chains. (English) Zbl 1149.81312 Commun. Math. Phys. 241, No. 1, 111-142 (2003). MSC: 81Q10 PDFBibTeX XMLCite \textit{K. Takasaki}, Commun. Math. Phys. 241, No. 1, 111--142 (2003; Zbl 1149.81312) Full Text: DOI arXiv
Takasaki, Kanehisa Painlevé-Calogero correspondence. (Japanese) Zbl 0991.34515 RIMS Kokyuroku 1221, 180-194 (2001). MSC: 34M55 37J35 81R12 PDFBibTeX XMLCite \textit{K. Takasaki}, RIMS Kokyuroku 1221, 180--194 (2001; Zbl 0991.34515)
Takasaki, Kanehisa Painlevé-Calogero correspondence. (English) Zbl 0985.34506 RIMS Kokyuroku 1203, 71-88 (2001). MSC: 34M55 35F20 81R12 PDFBibTeX XMLCite \textit{K. Takasaki}, RIMS Kokyuroku 1203, 71--88 (2001; Zbl 0985.34506)
Takasaki, Kanehisa Painlevé-Calogero correspondence revisited. (English) Zbl 1016.34089 J. Math. Phys. 42, No. 3, 1443-1473 (2001). MSC: 34M55 37J15 PDFBibTeX XMLCite \textit{K. Takasaki}, J. Math. Phys. 42, No. 3, 1443--1473 (2001; Zbl 1016.34089) Full Text: DOI arXiv
Takasaki, K. Hyperelliptic integrable systems on \(K3\) and rational surfaces. (English) Zbl 0984.37082 Phys. Lett., A 283, No. 3-4, 201-208 (2001). MSC: 37K10 37K20 14J28 PDFBibTeX XMLCite \textit{K. Takasaki}, Phys. Lett., A 283, No. 3--4, 201--208 (2001; Zbl 0984.37082) Full Text: DOI arXiv
Takasaki, Kanehisa Whitham deformations of Seiberg-Witten curves for classical gauge groups. (English) Zbl 0973.81036 Int. J. Mod. Phys. A 15, No. 23, 3635-3666 (2000). MSC: 81R12 14H70 81T45 81T60 37K20 81T13 PDFBibTeX XMLCite \textit{K. Takasaki}, Int. J. Mod. Phys. A 15, No. 23, 3635--3666 (2000; Zbl 0973.81036) Full Text: DOI arXiv
Takasaki, Kanehisa Modulation of nonlinear wave motion and the Whitham equations. (Japanese) Zbl 0958.35507 RIMS Kokyuroku 1134, 21-36 (2000). MSC: 35Q58 37K10 PDFBibTeX XMLCite \textit{K. Takasaki}, RIMS Kokyuroku 1134, 21--36 (2000; Zbl 0958.35507)
Takasaki, Kanehisa Painlevé equations appearing in Calogero-Moser systems. (Japanese) Zbl 0958.34517 RIMS Kokyuroku 1133, 72-103 (2000). MSC: 34M55 37J35 PDFBibTeX XMLCite \textit{K. Takasaki}, RIMS Kokyuroku 1133, 72--103 (2000; Zbl 0958.34517)
Takasaki, Kanehisa Elliptic Calogero-Moser systems and isomonodromic deformations. (English) Zbl 0952.37015 J. Math. Phys. 40, No. 11, 5787-5821 (1999). Reviewer: Samir Musayev (Baku) MSC: 37J35 34M55 PDFBibTeX XMLCite \textit{K. Takasaki}, J. Math. Phys. 40, No. 11, 5787--5821 (1999; Zbl 0952.37015) Full Text: DOI arXiv
Takasaki, Kanehisa Integrable hierarchies and contact terms in \(u\)-plane integrals of topologically twisted supersymmetric gauge theories. (English) Zbl 0939.37038 Int. J. Mod. Phys. A 14, No. 7, 1001-1013 (1999). Reviewer: Viktor Abramov (Tartu) MSC: 37K10 81T60 58D27 81T13 PDFBibTeX XMLCite \textit{K. Takasaki}, Int. J. Mod. Phys. A 14, No. 7, 1001--1013 (1999; Zbl 0939.37038) Full Text: DOI arXiv
Takasaki, Kanehisa Whitham Deformations and Tau Functions in N = 2 Supersymmetric Gauge Theories. arXiv:hep-th/9905224 Preprint, arXiv:hep-th/9905224 [hep-th] (1999). BibTeX Cite \textit{K. Takasaki}, ``Whitham Deformations and Tau Functions in N = 2 Supersymmetric Gauge Theories'', Preprint, arXiv:hep-th/9905224 [hep-th] (1999) Full Text: DOI arXiv
Takasaki, Kanehisa Spectral curves and Whitham equations in isomonodromic problems of Schlesinger type. (English) Zbl 0959.34075 Asian J. Math. 2, No. 4, 1049-1078 (1998). Reviewer: N.V.Grigorenko (Kyïv) MSC: 34M55 37K10 32G34 14H70 PDFBibTeX XMLCite \textit{K. Takasaki}, Asian J. Math. 2, No. 4, 1049--1078 (1998; Zbl 0959.34075) Full Text: DOI arXiv
Takasaki, Kanehisa Gaudin model, KZ equation and an isomonodromic problem on the torus. (English) Zbl 0944.37034 Lett. Math. Phys. 44, No. 2, 143-156 (1998). MSC: 37K10 37N20 32G34 PDFBibTeX XMLCite \textit{K. Takasaki}, Lett. Math. Phys. 44, No. 2, 143--156 (1998; Zbl 0944.37034) Full Text: DOI arXiv
Takasaki, Kanehisa Dual isomonodromic problems and Whitham equations. (English) Zbl 0899.35109 Lett. Math. Phys. 43, No. 2, 123-135 (1998). MSC: 35Q58 37J35 37K10 81T99 PDFBibTeX XMLCite \textit{K. Takasaki}, Lett. Math. Phys. 43, No. 2, 123--135 (1998; Zbl 0899.35109) Full Text: DOI arXiv
Takasaki, Kanehisa Differential equations and computability. (Japanese) Zbl 0937.03070 RIMS Kokyuroku 1020, 39-62 (1997). MSC: 03F60 03D45 03D80 03H05 34A12 26E40 35L05 PDFBibTeX XMLCite \textit{K. Takasaki}, RIMS Kokyuroku 1020, 39--62 (1997; Zbl 0937.03070)
Takasaki, Kanehisa Toda lattice hierarchy and generalized string equations. (English) Zbl 0857.35107 Commun. Math. Phys. 181, No. 1, 131-156 (1996). MSC: 35Q40 81T30 35Q53 35Q58 PDFBibTeX XMLCite \textit{K. Takasaki}, Commun. Math. Phys. 181, No. 1, 131--156 (1996; Zbl 0857.35107) Full Text: DOI arXiv
Takasaki, Kanehisa Integrable hierarchies, dispersionless limit and string equations. (English) Zbl 0891.35150 Morimoto, M. (ed.) et al., Structure of solutions of differential equations. Proceedings of the Taniguchi symposium, Katata, Japan, June 26-30, 1995 and the RIMS symposium, Kyoto, Japan, July 3-7, 1995. Singapore: World Scientific. 457-481 (1996). MSC: 35Q58 14H42 35Q53 PDFBibTeX XMLCite \textit{K. Takasaki}, in: Structure of solutions of differential equations. Proceedings of the Taniguchi symposium, Katata, Japan, June 26-30, 1995 and the RIMS symposium, Kyoto, Japan, July 3-7, 1995. Singapore: World Scientific. 457--481 (1996; Zbl 0891.35150)
Takasaki, Kanehisa Symmetries and tau function of higher dimensional dispersionless integrable hierarchies. (English) Zbl 0845.58039 J. Math. Phys. 36, No. 7, 3574-3607 (1995). MSC: 37J35 37K10 35Q58 PDFBibTeX XMLCite \textit{K. Takasaki}, J. Math. Phys. 36, No. 7, 3574--3607 (1995; Zbl 0845.58039) Full Text: DOI arXiv
Takasaki, Kanehisa Dispersionless Toda hierarchy and two-dimensional string theory. (English) Zbl 0828.35128 Commun. Math. Phys. 170, No. 1, 101-116 (1995). MSC: 35Q55 81T30 37J35 37K10 35Q15 PDFBibTeX XMLCite \textit{K. Takasaki}, Commun. Math. Phys. 170, No. 1, 101--116 (1995; Zbl 0828.35128) Full Text: DOI arXiv
Takasaki, Kanehisa Nonabelian KP hierarchy with Moyal algebraic coefficients. (English) Zbl 0821.35124 J. Geom. Phys. 14, No. 4, 332-364 (1994). MSC: 35Q53 17B99 58H15 37J35 37K10 PDFBibTeX XMLCite \textit{K. Takasaki}, J. Geom. Phys. 14, No. 4, 332--364 (1994; Zbl 0821.35124) Full Text: DOI arXiv
Takasaki, Kanehisa Dressing operator approach to Moyal algebraic deformation of selfdual gravity. (English) Zbl 0803.58059 J. Geom. Phys. 14, No. 2, 111-120 (1994). MSC: 58H15 81V17 37J35 37K10 PDFBibTeX XMLCite \textit{K. Takasaki}, J. Geom. Phys. 14, No. 2, 111--120 (1994; Zbl 0803.58059) Full Text: DOI arXiv
Takasaki, Kanehisa \(\tau\)-functions of higher-dimensional integrable hierarchies. (Japanese) Zbl 0900.58017 Takasaki, Kanehisa (ed.), State of art and perspectives of studies on nonlinear integrable systems. Proceedings of a symposium held at the Research Institute for Mathematical Sciences, Kyoto University, Kyoto, Japan, November 30–December 3, 1993. Kyoto: Kyoto Univ., Research Institute for Mathematical Sciences, RIMS Kôkyûroku. 868, 1-18 (1994). MSC: 37J35 37K10 PDFBibTeX XMLCite \textit{K. Takasaki}, in: State of art and perspectives of studies on nonlinear integrable systems. Proceedings of a symposium held at the Research Institute for Mathematical Sciences, Kyoto University, Kyoto, Japan, November 30--December 3, 1993. Kyoto: Kyoto Univ., Research Institute for Mathematical Sciences. 1--18 (1994; Zbl 0900.58017)
Takasaki, Kanehisa (ed.) State of art and perspectives of studies on nonlinear integrable systems. Proceedings of a symposium held at the Research Institute for Mathematical Sciences, Kyoto University, Kyoto, Japan, November 30–December 3, 1993. (English, Japanese) Zbl 0889.58004 RIMS Kôkyûroku. 868. Kyoto: Kyoto Univ., Research Institute for Mathematical Sciences, iv, 242 p. (1994). MSC: 58-06 35-06 00B25 37J35 37K10 35Qxx 39A12 35A30 37B99 46L85 46L87 35G20 PDFBibTeX XMLCite \textit{K. Takasaki} (ed.), State of art and perspectives of studies on nonlinear integrable systems. Proceedings of a symposium held at the Research Institute for Mathematical Sciences, Kyoto University, Kyoto, Japan, November 30--December 3, 1993 (Japanese). Kyoto: Kyoto Univ., Research Institute for Mathematical Sciences (1994; Zbl 0889.58004)
Takasaki, Kanehisa Integrable hierarchy underlying topological Landau-Ginzburg models of \(D\)-type. (English) Zbl 0797.35152 Lett. Math. Phys. 29, No. 2, 111-121 (1993). MSC: 35Q58 37J35 37K10 81T99 35Q15 PDFBibTeX XMLCite \textit{K. Takasaki}, Lett. Math. Phys. 29, No. 2, 111--121 (1993; Zbl 0797.35152) Full Text: DOI arXiv
Takasaki, Kanehisa Quasi-classical limit of BKP hierarchy and \(W\)-infinity symmetries. (English) Zbl 0778.35101 Lett. Math. Phys. 28, No. 3, 177-185 (1993). MSC: 35Q58 37J35 37K10 17B65 81R10 PDFBibTeX XMLCite \textit{K. Takasaki}, Lett. Math. Phys. 28, No. 3, 177--185 (1993; Zbl 0778.35101) Full Text: DOI arXiv
Takasaki, Kanehisa \(W\) algebra, twistor, and nonlinear integrable systems. (English) Zbl 0966.37502 Kawai, Takahiro (ed.) et al., Algebraic analysis and number theory. Proceedings of a symposium held at the Research Institute for Mathematical Sciences, Kyoto University, Kyoto, March 23-28, 1992. Kyoto: Kyoto Univ., Research Inst. for Mathematical Sciences, RIMS Kôkyûroku. No. 810, 65-78 (1992). MSC: 37D45 17B68 81T30 83C60 PDFBibTeX XMLCite \textit{K. Takasaki}, in: Algebraic analysis and number theory. Proceedings of a symposium held at the Research Institute for Mathematical Sciences, Kyoto University, Kyoto, March 23-28, 1992. Kyoto: Kyoto Univ., Research Inst. for Mathematical Sciences. 65--78 (1992; Zbl 0966.37502) Full Text: arXiv
Takasaki, Kanehisa Area-preserving diffeomorphisms and nonlinear integrable systems. (English) Zbl 1103.37042 Mickelsson, Jouko (ed.) et al., Topological and geometrical methods in field theory. Proceedings of the 2nd international symposium, Turku, Finland, May 26–June 1, 1991. Singapore: World Scientific (ISBN 981-02-0961-4). 383-397 (1992). MSC: 37K10 37K30 58D05 83C60 PDFBibTeX XMLCite \textit{K. Takasaki}, in: Topological and geometrical methods in field theory. Proceedings of the 2nd international symposium, Turku, Finland, May 26--June 1, 1991. Singapore: World Scientific. 383--397 (1992; Zbl 1103.37042) Full Text: arXiv
Takasaki, Kanehisa Integrable systems in gauge theory, Kähler geometry and super KP hierarchy – symmetries and algebraic point of view. (English) Zbl 0747.53025 Proc. Int. Congr. Math., Kyoto/Japan 1990, Vol. II, 1205-1214 (1991). Reviewer: M.Malakhal’tsev (Kazan’) MSC: 53C07 35Q53 PDFBibTeX XMLCite \textit{K. Takasaki}, in: Proceedings of the international congress of mathematicians (ICM), August 21--29, 1990, Kyoto, Japan. Volume II. Tokyo etc.: Springer-Verlag. 1205--1214 (1991; Zbl 0747.53025)
Takasaki, Kanehisa Hidden symmetries of integrable systems in Yang-Mills theory and Kähler geometry. (English) Zbl 0746.58039 Sémin. Équ. Dériv. Partielles, Éc. Polytech., Cent. Math., Palaiseau 1990-1991, No.VIII, 15 p. (1991). Reviewer: C.Günther (Libby) MSC: 37J35 37K10 81T13 53C55 PDFBibTeX XML Full Text: Numdam EuDML
Takasaki, Kanehisa Analytic expression of Voros coefficients and its application to WKB connection problem. (English) Zbl 0782.35062 Special functions, Proc. Hayashibara Forum, Okayama/Jap. 1990, ICM-90 Satell. Conf. Proc., 294-315 (1991). MSC: 35Q40 35Q53 81Q20 34L30 PDFBibTeX XMLCite \textit{K. Takasaki}, in: Special functions. Proceedings of the Hayashibara Forum 1990, held in Fujisaki Institute, Okayama, Japan, August 16-20, 1990. Tokyo: Springer-Verlag. 294--315 (1991; Zbl 0782.35062)
Takasaki, K. Symmetries of hyper-Kähler (or Poisson gauge field) hierarchy. (English) Zbl 0718.53050 J. Math. Phys. 31, No. 8, 1877-1888 (1990). Reviewer: I.Gottlieb (Iaşi) MSC: 53C55 81T99 PDFBibTeX XMLCite \textit{K. Takasaki}, J. Math. Phys. 31, No. 8, 1877--1888 (1990; Zbl 0718.53050) Full Text: DOI
Takasaki, K. Hierarchy structure in integrable systems of gauge fields and underlying Lie algebras. (English) Zbl 0692.58044 Commun. Math. Phys. 127, No. 2, 225-238 (1990). MSC: 58Z05 81T08 37C10 17B65 PDFBibTeX XMLCite \textit{K. Takasaki}, Commun. Math. Phys. 127, No. 2, 225--238 (1990; Zbl 0692.58044) Full Text: DOI
Takasaki, K. Differential algebras and \({\mathcal D}\)-modules in super Toda lattice hierarchy. (English) Zbl 0692.58008 Lett. Math. Phys. 19, No. 3, 229-236 (1990). MSC: 58C50 37J35 37K10 81T25 12H05 35Q99 PDFBibTeX XMLCite \textit{K. Takasaki}, Lett. Math. Phys. 19, No. 3, 229--236 (1990; Zbl 0692.58008) Full Text: DOI
Takasaki, Kanehisa Geometry of universal Grassmann manifold from algebraic point of view. (English) Zbl 0716.58001 Rev. Math. Phys. 1, No. 1, 1-46 (1989). Reviewer: D.Repovš MSC: 58-02 58B25 17B65 17-02 22E65 17B68 17B81 PDFBibTeX XMLCite \textit{K. Takasaki}, Rev. Math. Phys. 1, No. 1, 1--46 (1989; Zbl 0716.58001) Full Text: DOI
Takasaki, K. Symmetries of the super KP hierarchy. (English) Zbl 0699.58045 Lett. Math. Phys. 17, No. 4, 351-357 (1989). Reviewer: B.Fuchssteiner MSC: 37J35 37K10 17B65 PDFBibTeX XMLCite \textit{K. Takasaki}, Lett. Math. Phys. 17, No. 4, 351--357 (1989; Zbl 0699.58045) Full Text: DOI
Takasaki, Kanehisa Integrable systems as deformations of \(\mathcal D\)-modules. (English) Zbl 0687.58010 Theta functions, Proc. 35th Summer Res. Inst. Bowdoin Coll., Brunswick/ME 1987, Proc. Symp. Pure Math. 49, Pt. 1, 143-168 (1989). Reviewer: Yu.E.Gliklikh MSC: 37J35 37K10 35Q99 PDFBibTeX XML
Takasaki, K. Issues of multi-dimensional integrable systems. (English) Zbl 0685.58019 Algebraic analysis, Pap. Dedicated to Prof. Mikio Sato on the Occas. of his Sixtieth Birthday, Vol. 2, 853-865 (1989). Reviewer: B.Fuchssteiner MSC: 37J35 37K10 81T08 PDFBibTeX XML
Takasaki, K. An infinite number of hidden variables in hyper-Kähler metrics. (English) Zbl 0683.53017 J. Math. Phys. 30, No. 7, 1515-1521 (1989). Reviewer: I.Gottlieb MSC: 53B35 83C99 PDFBibTeX XMLCite \textit{K. Takasaki}, J. Math. Phys. 30, No. 7, 1515--1521 (1989; Zbl 0683.53017) Full Text: DOI
Takasaki, Kanehisa (ed.) D-modules and nonlinear integrable systems. Proceedings of a symposium held at the Research Institute for Mathematical Sciences, Kyoto University, Kyoto, Japan, June 22-25, 1987. (Japanese) Zbl 0695.58003 RIMS Kokyuroku, 640. Kyoto: Kyoto University, Research Institute for Mathematical Sciences. ii, 118 p. (1988). MSC: 58-06 81-06 00B25 37J35 37K10 35Q99 PDFBibTeX XMLCite \textit{K. Takasaki} (ed.), D-modules and nonlinear integrable systems. Proceedings of a symposium held at the Research Institute for Mathematical Sciences, Kyoto University, Kyoto, Japan, June 22-25, 1987 (Japanese). Kyoto: Kyoto University, Research Institute for Mathematical Sciences (1988; Zbl 0695.58003)
Takasaki, Kanehisa Aspects of integrability in self-dual Einstein metrics and related equations. (English) Zbl 0614.53063 Publ. Res. Inst. Math. Sci. 22, 949-990 (1986). Reviewer: H.Stephani MSC: 53C80 53C25 35Q99 83C99 PDFBibTeX XMLCite \textit{K. Takasaki}, Publ. Res. Inst. Math. Sci. 22, 949--990 (1986; Zbl 0614.53063) Full Text: DOI
Takasaki, Kanehisa A new approach to the self-dual Yang-Mills equations. II. (English) Zbl 0602.58056 Saitama Math. J. 3, 11-40 (1985). MSC: 58J90 81T08 58J50 PDFBibTeX XMLCite \textit{K. Takasaki}, Saitama Math. J. 3, 11--40 (1985; Zbl 0602.58056)
Takasaki, Kanehisa Initial value problem for the Toda lattice hierarchy. (English) Zbl 0577.58019 Group representations and systems of differential equations, Proc. Symp., Tokyo 1982, Adv. Stud. Pure Math. 4, 139-163 (1984). Reviewer: G.Warnecke MSC: 37J35 37K10 PDFBibTeX XML
Takasaki, K. A new approach to the self-dual Yang-Mills equations. (English) Zbl 0552.58036 Commun. Math. Phys. 94, 35-59 (1984). Reviewer: M.Monastyrsk MSC: 58J90 81T08 58J50 PDFBibTeX XMLCite \textit{K. Takasaki}, Commun. Math. Phys. 94, 35--59 (1984; Zbl 0552.58036) Full Text: DOI
Takasaki, Kanehisa On the structure of solutions to the self-dual Yang-Mills equations. (English) Zbl 0547.58046 Proc. Japan Acad., Ser. A 59, 418-421 (1983). MSC: 58J90 81T08 PDFBibTeX XMLCite \textit{K. Takasaki}, Proc. Japan Acad., Ser. A 59, 418--421 (1983; Zbl 0547.58046) Full Text: DOI
Takasaki, Kanehisa A class of solutions to the self-dual Yang-Mills equations. (English) Zbl 0547.58045 Proc. Japan Acad., Ser. A 59, 308-311 (1983). MSC: 58J90 81T08 53C80 PDFBibTeX XMLCite \textit{K. Takasaki}, Proc. Japan Acad., Ser. A 59, 308--311 (1983; Zbl 0547.58045) Full Text: DOI
Takasaki, Kanehisa Singular Cauchy problems for a class of weakly hyperbolic differential operators. (English) Zbl 0498.35051 Commun. Partial Differ. Equations 7, 1151-1188 (1982). MSC: 35L30 35A30 35C15 32A25 32A10 32A45 PDFBibTeX XMLCite \textit{K. Takasaki}, Commun. Partial Differ. Equations 7, 1151--1188 (1982; Zbl 0498.35051) Full Text: DOI Euclid
Takasaki, Kanehisa Singular Cauchy problems for a class of weakly hyperbolic differential operators. (English) Zbl 0504.35056 Proc. Japan Acad., Ser. A 57, 393-397 (1981). MSC: 35L30 35C15 58J15 58J45 PDFBibTeX XMLCite \textit{K. Takasaki}, Proc. Japan Acad., Ser. A 57, 393--397 (1981; Zbl 0504.35056) Full Text: DOI