Variations of mixed Hodge structure, Higgs fields, and quantum cohomology |
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Authors: | Gregory J. Pearlstein |
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Affiliation: | University of California Santa Cruz, Santa Cruz, CA 95064, USA.?e-mail: gpearl@math.ucsc.edu, US
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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. Received: 14 February 2000 |
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Keywords: | Mathematics Subject Classification (2000): 14D07 32G20 |
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