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Formulae in noncommutative Hodge theory

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Original languageEnglish
Number of pages42
JournalJournal of Homotopy and Related Structures
Early online date23 Nov 2019
DOIs
Publication statusE-pub ahead of print - 23 Nov 2019

Abstract

We prove that the cyclic homology of a saturated A∞ 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.

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