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

abstract

  • Following C. Simpson, we show that every variation of graded-polarized mixed Hodge structure defined over carries a natural Higgs bundle structure + which is invariant under the * action studied in [20]. We then specialize our construction to the context of [6], and show that the resulting Higgs field determines (and is determined by) the Gromov-Witten potential of the underlying family of Calabi-Yau threefolds.

published proceedings

  • manuscripta mathematica

author list (cited authors)

  • Pearlstein, G. J.

citation count

  • 20

complete list of authors

  • Pearlstein, Gregory J

publication date

  • January 2000