String cohomology of Calabi-Yau hypersurfaces via mirror symmetry

Sep, 2001
29 pages
e-Print:
Report number:
  • MPI-2001-76

Citations per year

20022004200620082010201
Abstract:
We propose a construction of string cohomology spaces for Calabi-Yau hypersurfaces that arise in Batyrev's mirror symmetry construction. The spaces are defined explicitly in terms of the corresponding reflexive polyhedra in a mirror-symmetric manner. We draw connections with other approaches to the string cohomology, in particular with the work of Chen and Ruan.
  • string model
  • supersymmetry
  • symmetry: mirror
  • space: Calabi-Yau
  • cohomology
  • topology
  • geometry: algebra