Variations of Mixed Hodge Structure, Higgs Fields, and Quantum Cohomology
Gregory J Pearlstein
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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