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arXiv · 1612.03643

Almost duality for Saito structure and complex reflection groups

Yukiko Konishi·Satoshi Minabe·Yuuki Shiraishi
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Abstract

We reformulate Dubrovin's almost duality of Frobenius structures to Saito structures without metric. Then we formulate and study the existence and uniqueness problem of the natural Saito structure on the orbit spaces of finite complex reflection groups from the viewpoint of the almost duality. We give a complete answer to the problem for the irreducible groups.

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Yukiko Konishi, Satoshi Minabe, Yuuki Shiraishi. 2016-12-12. Almost duality for Saito structure and complex reflection groups. https://arxiv.org/abs/1612.03643

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