Abstract:
Following C. Simpson, we show that every variation of graded-polarized mixed Hodge structure defined over ℚ carries a natural Higgs bundle structure which is invariant under the ℂ* action studied in [20]. We then specialize our construction to the context of [6], and show that the resulting Higgs field θ determines (and is determined by) the Gromov–Witten potential of the underlying family of Calabi–Yau threefolds.
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Received: 14 February 2000
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Pearlstein, G. Variations of mixed Hodge structure, Higgs fields, and quantum cohomology. manuscripta math. 102, 269–310 (2000). https://doi.org/10.1007/PL00005852
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DOI: https://doi.org/10.1007/PL00005852