Thickening Calabi-yau Moduli Spaces

  title={Thickening Calabi-yau Moduli Spaces},
  author={Z. Y. Ran},
We describe a kind of deformation of the anti-DeRham algebra on a Calabi-Yau manifold X. These are in 1-1 correspondence with the total cohomology ⊕H i (X, C). In his article [W] in this volume's precursor, Witten proposed, as a possible approach to constructing a mirror map, a certain extended moduli space N , a thickening of the usual moduli space M of complex structures on a Calabi-Yau manifold X. Witten's proposal for N is couched in terms of Conformal Field Theory on X, and it is not… CONTINUE READING