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Variations of Mixed Hodge Structure, Higgs Fields, and Quantum Cohomology

Gregory J Pearlstein
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Abstract

Insprired by the work of C. Simpson, it is shown that every variation of graded-polarized mixed Hodge structure defined over Q gives rise to a natural Higgs field on the underlying vector bundle. In the context of Mirror Symmetry it is then shown that these Higgs fields share an intimate relationship with Quantum Cohomology.

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Gregory J Pearlstein. 2000-02-03. Variations of Mixed Hodge Structure, Higgs Fields, and Quantum Cohomology. https://arxiv.org/abs/math/9808106

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