ON ALMOST DUALITY FOR FROBENIUS MANIFOLDS

ON ALMOST DUALITY FOR FROBENIUS MANIFOLDS
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DOI:
10.1090/trans2/212/05
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发表时间:
2003-07
期刊:
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影响因子:
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通讯作者:
B. Dubrovin
B. Dubrovin
中科院分区:
其他
文献类型:
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作者:
B. Dubrovin

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本文给出了Frobenius man- ifolds的几乎对偶的普遍构造.这种结构的分析设置详细描述的情况下,半单Frobenius流形。我们从奇点理论、镜像对称、Coxeter群和Shephard群的理论、Seiberg -维滕对偶性等方面举例说明一般的考虑。
We present a universal construction of almost duality for Frobenius man- ifolds. The analytic setup of this construction is described in details for the case of semisimple Frobenius manifolds. We illustrate the general considerations by exam- ples from the singularity theory, mirror symmetry, the theory of Coxeter groups and Shephard groups, from the Seiberg - Witten duality.