Variations of mixed Hodge structure, Higgs fields, and quantum cohomology
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Following C. Simpson, we show that every variation of graded-polarized mixed Hodge structure defined over carries a natural Higgs bundle structure + which is invariant under the * action studied in . We then specialize our construction to the context of , and show that the resulting Higgs field determines (and is determined by) the Gromov-Witten potential of the underlying family of Calabi-Yau threefolds.
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