zbMath1161.14002MaRDI QIDQ5458445
Martin A. Guest
Publication date: 14 April 2008
Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10)
Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects) (14N35)
Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35)
Research exposition (monographs, survey articles) pertaining to algebraic geometry (14-02)
Research exposition (monographs, survey articles) pertaining to differential geometry (53-02)
Gromov-Witten invariants, quantum cohomology, Frobenius manifolds (53D45)
Geometrical proof of generalized mirror transformation of projective hypersurfaces,
The arithmetic and topology of differential equations,
Infinitely many nonlocal conservation laws for the \textit{ABC} equation with \(A+B+C\neq 0\),
Partial differential systems with non-local nonlinearities: generation and solutions,
Topological-antitopological fusion and the quantum cohomology of Grassmannians,
Harmonic maps and shift-invariant subspaces,
Mirror map as generating function of intersection numbers: toric manifolds with two Kähler forms,
Minuscule Schubert varieties and mirror symmetry,
The small quantum cohomology of a weighted projective space, a mirror \(D\)-module and their classical limits,
Minimal Lagrangian surfaces in \(\mathbb{C}P^2\) via the loop group method. I: The contractible case,
Orbifold quantum D-modules associated to weighted projective spaces,
Integrability and vesture for harmonic maps into symmetric spaces,
Isomonodromy aspects of the \(tt^*\) equations of Cecotti and Vafa. III: Iwasawa factorization and asymptotics,
The \(B\)-model connection and mirror symmetry for Grassmannians,
On the geometry of the Clairin theory of conditional symmetries for higher-order systems of PDEs with applications,
Logarithmic Frobenius manifolds, hypergeometric systems and quantum 𝒟-modules,
Stokes matrices for the quantum differential equations of some Fano varieties,
Darboux-Halphen-Ramanujan vector field on a moduli of Calabi-Yau manifolds