Variations of mixed Hodge structure, Higgs fields, and quantum cohomology Academic Article uri icon

abstract

  • Following C. Simpson, we show that every variation of graded-polarized mixed Hodge structure defined over ℚ carries a natural Higgs bundle structure ∂ + θ 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.

author list (cited authors)

  • Pearlstein, G. J.

citation count

  • 12

complete list of authors

  • Pearlstein, Gregory J

publication date

  • July 2000