22 citations · 104 across the 19 of their papers we have counts for
19 papers
A reduction theorem for good basic invariants of finite complex reflection groups
Yukiko Konishi, Satoshi Minabe
This is a sequel to our previous article arXiv:2307.07897. We describe a certain reduction process of Satake's good basic invariants. We show that if the largest degree of a…
Satake's good basic invariants for finite complex reflection groups
Yukiko Konishi, Satoshi Minabe
In arXiv:2004.01871 Satake introduced the notions of admissible triplets and good basic invariants for finite complex reflection groups. For irreducible finite Coxeter groups, he s…
Almost duality for Saito structure and complex reflection groups II: the case of Coxeter and Shephard groups
Yukiko Konishi, Satoshi Minabe
It is known that the orbit spaces of the finite Coxeter groups and the Shephard groups admit two types of Saito structures without metric. One is the underlying structures of the F…
Almost duality for Saito structure and complex reflection groups
Yukiko Konishi, Satoshi Minabe, Yuuki Shiraishi
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…
Mixed Frobenius Structure and Local Quantum Cohomology
Yukiko Konishi, Satoshi Minabe
This paper is a sequel to arXiv:1209.5550 where the notion of mixed Frobenius structure (MFS) was introduced as a generalization of the structure of a Frobenius manifold. Roughly s…
Mixed Frobenius Structure and Local A-model
Yukiko Konishi, Satoshi Minabe
We define the notion of mixed Frobenius structure which is a generalization of the structure of a Frobenius manifold. We construct a mixed Frobenius structure on the cohomology of…