Zobrazeno 1 - 10
of 66
pro vyhledávání: '"Konishi, Yukiko"'
Autor:
Konishi, Yukiko, Minabe, Satoshi
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 $d_1$ of a finite complex reflection group $G$ is regular and if $\delta$ is a di
Externí odkaz:
http://arxiv.org/abs/2409.00380
Autor:
Konishi, Yukiko, Minabe, Satoshi
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 showed the existence and the uniqueness of good basic invariants. Moreo
Externí odkaz:
http://arxiv.org/abs/2307.07897
Autor:
Konishi, Yukiko, Minabe, Satoshi
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 Frobenius structures constructed by Saito and Dubrovin. The other is th
Externí odkaz:
http://arxiv.org/abs/1904.12410
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 grou
Externí odkaz:
http://arxiv.org/abs/1612.03643
Autor:
Konishi, Yukiko, Minabe, Satoshi
Publikováno v:
Publications of RIMS 51 (2016), 43-62
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 speaking, the MFS is defined by replacing a metric of the Frobenius man
Externí odkaz:
http://arxiv.org/abs/1405.7476
Autor:
Konishi, Yukiko, Minabe, Satoshi
Publikováno v:
Kyoto J. Math. 60, no. 3 (2020), 997-1032
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 weak Fano toric surfaces and that of the three dimensional projective
Externí odkaz:
http://arxiv.org/abs/1209.5550
Autor:
Konishi, Yukiko, Minabe, Satoshi
We study the mixed Hodge theoretic aspects of the B-model side of local mirror symmetry. Our main objectives are to define an analogue of the Yukawa coupling in terms of the variations of the mixed Hodge structures and to study its properties. We als
Externí odkaz:
http://arxiv.org/abs/0907.4108
Autor:
Konishi, Yukiko, Minabe, Satoshi
We give a generalization of Yamaguchi--Yau's result to Walcher's extended holomorphic anomaly equation.
Comment: 19 pages, 3 figures, (v2) a reference added
Comment: 19 pages, 3 figures, (v2) a reference added
Externí odkaz:
http://arxiv.org/abs/0708.2898
Autor:
Hosono, Shinobu, Konishi, Yukiko
We solve Bershadsky-Cecotti-Ooguri-Vafa (BCOV) holomorphic anomaly equation to determine the higher genus Gromov-Witten invariants ($g \leq 5$) of the derived equivalent Calabi-Yau threefolds, which are of the appropriate codimensions in the Grassman
Externí odkaz:
http://arxiv.org/abs/0704.2928
Autor:
Inoue, Rei, Konishi, Yukiko
Publikováno v:
SIGMA 3 (2007), 007, 16 pages
We study Beauville's completely integrable system and its variant from a viewpoint of multi-Hamiltonian structures. We also relate our result to the previously known Poisson structures on the Mumford system and the even Mumford system.
Comment:
Comment:
Externí odkaz:
http://arxiv.org/abs/math-ph/0610048