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

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dc.creatorPearlstein, Gregory J
dc.date1998-08-25
dc.date2000-02-03
dc.date.accessioned2026-07-07T05:25:47Z
dc.date.available2026-07-07T05:25:47Z
dc.descriptionInsprired 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.
dc.description44 Pages, Latex: This is an expanded version of the original paper, containing expository improvements and additional background material. It also contains a more detailed discussion of classifying spaces and an alternative proof by Deligne of our main result
dc.identifierhttps://arxiv.org/abs/math/9808106
dc.identifierhttp://arxiv.org/abs/math/9808106
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/77317
dc.subjectAlgebraic Geometry
dc.subject14
dc.titleVariations of Mixed Hodge Structure, Higgs Fields, and Quantum Cohomology
dc.typetext

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