On Dubrovin's Frobenius structures on Hurwitz spaces

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On Dubrovin's Frobenius structures on Hurwitz spaces

P. 221–236.

Hurwitz spaces are spaces of meromorphic functions on algebraic curves. B.Dubrovin introduced Frobenius structures on Hurwitz spaces, which serve as one of the most spectacular examples of such structures. On the other hand, Hurwitz spaces admit natural compactification by stable maps. The main goal of the present paper is to formulate a question concerning the behavior of Dubrovin's Frobenius structures on Hurwitz spaces on the boundary of the compactification. Sample computations justifying the question are given.

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Advanced Studies in Pure Mathematics (Primitive Forms and Related Subjects - Kavli IPMU 2014)

Vol. 83: Primitive Forms and Related Subjects - Kavli IPMU 2014. , Tokyo: Mathematical Society of Japan, 2019.

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