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- W2528601229 abstract "We derive a formula for the signature of the symmetrized Stokes matrix $cal{S}+cal{S}^mathrm{T}$ for the $tt^*$-Toda equation. As a corollary, we verify a conjecture of Cecotti and Vafa regarding when $cal{S}+cal{S}^mathrm{T}$ is positive definite, reminiscent of a formula of Beukers and Heckmann for the generalized hypergeometric equation. The condition that $cal{S}+cal{S}^mathrm{T}$ is positive definite is prominent in the work of Cecotti and Vafa on the $tt^*$ equation; we show that the Stokes matrices $cal{S}$ satisfying this condition are parameterized by the points of an open convex polytope." @default.
- W2528601229 created "2016-10-14" @default.
- W2528601229 creator A5039439896 @default.
- W2528601229 date "2016-10-01" @default.
- W2528601229 modified "2023-09-27" @default.
- W2528601229 title "On the Stokes matrices of the $tt^*$-Toda equation" @default.
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