In book
Vol. 16: Proceedings of the RIMS Research Project held at Kyoto University, Kyoto, June 1–August 31, 1991. , River Edge : World Scientific, 1992
Nakatsu T., Kato A., Noumi M. et al., Physics Letters B 1994 Vol. 322 No. 3 P. 192-197
We study the relation between topological string theory and singularity theory using the partition function of A_N-1 topological string defined by matrix integral of Kontsevich type. Genus expansion of the free energy is considered, and the genus g=0 contribution is shown to be described by a special solution of N-reduced dispersionless KP system. We show ...
Added: August 14, 2014
Akhmedova V., Takebe T., Zabrodin A., / Cornell University. Series arXiv "math". 2020. No. 2010.02277.
The equations of Loewner type can be derived in two very different contexts: one of them is complex analysis and the theory of parametric onformal maps and the other one is the theor of integrable systems.In this paper we compare the both approaches.
After recalling the derivation of Loewner equations based on complex analysis we review ...
Added: October 28, 2020
Takebe T., Takasaki K., Journal of Mathematical Sciences 1996 Vol. 235 P. 295-303
This paper deals with the dispersionless KP hierarchy from the point of view of quasi-classical limit. Its Lax formalism, W-infinity symmetries and general solutions are shown to be reproduced from their counterparts in the KP hierarchy in the limit of hbar->0. Free fermions and bosonized vertex operators play a key role in the description of ...
Added: August 14, 2014
Akhmedova V., Takebe T., Zabrodin A., Journal of Geometry and Physics 2021 Vol. 162 Article 104100
The equations of Löwner type can be derived in two very different contexts: one of them
is complex analysis and the theory of parametric conformal maps and the other one is
the theory of integrable systems. In this paper we compare the both approaches. After
recalling the derivation of Löwner equations based on complex analysis we review oneand ...
Added: January 31, 2021