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arXiv · 1510.03795

Formulae in noncommutative Hodge theory

Nick Sheridan
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Abstract

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.

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Nick Sheridan. 2019-12-09. Formulae in noncommutative Hodge theory. https://doi.org/10.1007/s40062-019-00251-2

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