Description

Book Synopsis
Offers a collection of articles written in memory of Boris Dubrovin (1950-2019). The authors express their admiration for his remarkable personality and for the contributions he made to mathematical physics. For many of the authors, Dubrovin was a friend, colleague, inspiring mentor, and teacher.

Table of Contents
  • K. Aleshkin and K. Saito, Primitive forms without higher residue structure and integrable hierarchies (I)
  • M. Alkadhem, G. Antoniou, and M, Feigin, Solutions of $BC_n$ type of WDVV equations
  • P. P. Boalch, Topology of the Stokes phenomenon
  • G. Cotti and A. Varchenko, Equivariant quantum differential equation and qKZ equations for a projective space: Stokes bases as exceptional collections, Stokes matrices as Gram matrices, and $\mathcyr{B}$-theorem
  • L. David and C. Hertling, Meromorphic connections over F-manifolds
  • G. Jorjadze and S. Theisen, Canonical maps and integrability in $T\bar{T}$ deformed 2d CFTs
  • I. Krichever and A. Varchenko, Incarnations of XXX $\widehat{\mathfrak{sl}_N}$ Bethe ansatz equations and integrable hierarchies
  • F. Magri, The Kowalewski separability conditions
  • O. Mokhov and N. A. Strizhova, On the Liouville integrable reduction of the associativity equations in the case of three primary fields
  • S. M. Natanzon and A. Yu. Orlov, Hurwitz numbers from matrix integrals over Guassian measure
  • N. Reshetikhin, Spin Calogero-Moser models on symmetric spaces
  • M. Semenov-Tian-Shansky, Quantum toda lattice: A challenge for representation theory
  • A. O. Smirnov, M. V. Pavlov, V. B. Matveev, and V. S. Gerdjikov, Finite-gap solutions of the Mikhalev equation
  • I. A. B. Strachan, Flat coordinates on orbit spaces: From Novikov algebras to cyclic quotient singularities
  • K. Takasaki, Cubic Hodge integrals and integrable hierarchies of Volterra type
  • G. Tian and G. Xu, Gauged Witten equation and adiabatic limit.

Integrability Quantization and Geometry I.

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    A Paperback by Sergey Novikov, Igor Krichever, Oleg Ogievetsky

    15 in stock


      View other formats and editions of Integrability Quantization and Geometry I. by Sergey Novikov

      Publisher: MP-AMM American Mathematical
      Publication Date: 5/30/2021 12:00:00 AM
      ISBN13: 9781470455910, 978-1470455910
      ISBN10: 1470455919
      Also in:
      Geometry Topology

      Description

      Book Synopsis
      Offers a collection of articles written in memory of Boris Dubrovin (1950-2019). The authors express their admiration for his remarkable personality and for the contributions he made to mathematical physics. For many of the authors, Dubrovin was a friend, colleague, inspiring mentor, and teacher.

      Table of Contents
      • K. Aleshkin and K. Saito, Primitive forms without higher residue structure and integrable hierarchies (I)
      • M. Alkadhem, G. Antoniou, and M, Feigin, Solutions of $BC_n$ type of WDVV equations
      • P. P. Boalch, Topology of the Stokes phenomenon
      • G. Cotti and A. Varchenko, Equivariant quantum differential equation and qKZ equations for a projective space: Stokes bases as exceptional collections, Stokes matrices as Gram matrices, and $\mathcyr{B}$-theorem
      • L. David and C. Hertling, Meromorphic connections over F-manifolds
      • G. Jorjadze and S. Theisen, Canonical maps and integrability in $T\bar{T}$ deformed 2d CFTs
      • I. Krichever and A. Varchenko, Incarnations of XXX $\widehat{\mathfrak{sl}_N}$ Bethe ansatz equations and integrable hierarchies
      • F. Magri, The Kowalewski separability conditions
      • O. Mokhov and N. A. Strizhova, On the Liouville integrable reduction of the associativity equations in the case of three primary fields
      • S. M. Natanzon and A. Yu. Orlov, Hurwitz numbers from matrix integrals over Guassian measure
      • N. Reshetikhin, Spin Calogero-Moser models on symmetric spaces
      • M. Semenov-Tian-Shansky, Quantum toda lattice: A challenge for representation theory
      • A. O. Smirnov, M. V. Pavlov, V. B. Matveev, and V. S. Gerdjikov, Finite-gap solutions of the Mikhalev equation
      • I. A. B. Strachan, Flat coordinates on orbit spaces: From Novikov algebras to cyclic quotient singularities
      • K. Takasaki, Cubic Hodge integrals and integrable hierarchies of Volterra type
      • G. Tian and G. Xu, Gauged Witten equation and adiabatic limit.

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