The quantum orbifold cohomology of weighted projective spaces

摘要: We calculate the small quantum orbifold cohomology of arbitrary weighted projective spaces. generalize Givental’s heuristic argument, which relates to S 1-equivariant Floer loop space, spaces and use this conjecture an explicit formula for J-function, a generating function certain genus-zero Gromov–Witten invariants. prove using method due Bertram. This provides first non-trivial example family orbifolds dimension is known. In addition we obtain formulas J-functions complete intersections satisfying combinatorial condition; condition naturally singles out class with terminal singularities.