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

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

1998-08-25

arxiv.org/abs/math/9808106v2

Mathematics

Algebraic Geometry

44 Pages, Latex: This is an expanded version of the original paper, containing expository improvements and additional backgrou

Scientific paper

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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