Wednesday, May 8, 2013

1103.4048 (Chao-Zhong Wu et al.)

A Class of Infinite-dimensional Frobenius Manifolds and Their
Submanifolds
   [PDF]

Chao-Zhong Wu, Dingdian Xu
We construct a class of infinite-dimensional Frobenius manifolds on the space of pairs of certain even functions meromorphic inside or outside the unit circle. Via a bi-Hamiltonian recursion relation, the principal hierarchies associated to such Frobenius manifolds are found to be certain extensions of the dispersionless two-component BKP hierarchy. Moreover, we show that these infinite-dimensional Frobenius manifolds contain finite-dimensional Frobenius submanifolds as defined on the orbit space of Coxeter groups of types B and D.
View original: http://arxiv.org/abs/1103.4048

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