Mukai flop and Ruan cohomology

Mukai Flop and Ruan Cohomology

Suppose that two compact manifolds X,X ′ are connected by a sequence of Mukai flops. In this paper, we construct a ring isomorphism between cohomology ring of X and X ′. Using the localization technique, we prove that the quantum corrected products on X,X ′ are the ordinary intersection products. Furthermore, X,X ′ have isomorphic Ruan cohomology. i.e. we proved the cohomological minimal model ...

Notes on Chen-ruan Cohomology

Chen–ruan Cohomology of Some Moduli Spaces

Let X be a compact connected Riemann surface of genus at least two. We compute the Chen–Ruan cohomology ring of the moduli space of stable PSL(2, C)– bundles of nontrivial second Stiefel–Whitney class over X .

Chen–Ruan Cohomology of M1,n and M1,n

In this work we compute the Chen–Ruan cohomology of M1,n and M1,n, and its algebraic counterpart: the stringy Chow ring. We suggest a definition for a Chen–Ruan tautological ring in genus 1, which is both a subring of the Chen–Ruan cohomology and of the stringy Chow ring.

Chen-ruan Orbifold Cohomology of Weighted Projective Space 1

Chen and Ruan [6] defined a very interesting cohomology theory-Chen-Ruan orbifold cohomology. The primary objective of this paper is to compute the Chen-Ruan orbifold cohomology of weighted projective space, one of the most important space used in physics. The classical tools (orbifold cohomology defined by Chen and Ruan,toric varieties, the localization formula) which have been proved to be su...