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Formulae in noncommutative Hodge theory
Journal of Homotopy and Related Structures ( IF 0.7 ) Pub Date : 2019-11-21 , DOI: 10.1007/s40062-019-00251-2
Nick Sheridan

We prove that the cyclic homology of a saturated \(A_\infty \) category admits the structure of a ‘polarized variation of Hodge structures’, building heavily on the work of many authors: the main point of the paper is to present complete proofs, and also explicit formulae for all of the relevant structures. This forms part of a project of Ganatra, Perutz and the author, to prove that homological mirror symmetry implies enumerative mirror symmetry.

中文翻译:

非可交换霍奇理论中的公式

我们证明了饱和\(A_ \ infty \)类别的循环同源性在许多作者的工作基础上都承认了“霍奇结构的极化变异”的结构:本文的重点是提出完整的证明,以及所有相关结构的明确公式。这构成了Ganatra,Perutz和作者的项目的一部分,以证明同源镜对称性意味着枚举镜对称性。
更新日期:2019-11-21
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