14 citations · 69 across the 30 of their papers we have counts for
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The tt*-Toda equations of A_n type
Martin A. Guest, Alexander R. Its, Chang-Shou Lin
In previous articles we have studied the A_n tt*-Toda equations (topological-antitopological fusion equations of Toda type) of Cecotti and Vafa, giving details mainly for n=3. Here…
Quantum cohomology: is it still relevant?
Martin A. Guest
This article, intended for a general mathematical audience, is an informal review of some of the many interesting links which have developed between quantum cohomology and "classic…
Polytopes, supersymmetry, and integrable systems
Martin A. Guest, Nan-Kuo Ho
We review some links between Lie-theoretic polytopes and field theories in physics, which were proposed in the 1990's. A basic ingredient is the Coxeter Plane, whose relation to in…
Positive energy representations of affine algebras and Stokes matrices of the affine Toda equations
Martin A. Guest, Takashi Otofuji
We give a construction which produces a positive energy representation of the affine Lie algebra of type A_n from the Stokes data of a solution of the tt*-Toda equations of type A_…
Topological-antitopological fusion and the quantum cohomology of Grassmannians
Martin A. Guest
We suggest an explanation for the part of the Satake Correspondence which relates the quantum cohomology of complex Grassmannians and the quantum cohomology of complex projective s…
Kostant, Steinberg, and the Stokes matrices of the tt*-Toda equations
Martin Guest, Nan-Kuo Ho
We propose a Lie-theoretic definition of the tt*-Toda equations for any complex simple Lie algebra , based on the concept of topological-antitopological fusion which…