English

A New Cohomology Theory for Orbifold

Algebraic Geometry 2009-10-31 v3 High Energy Physics - Theory Differential Geometry Symplectic Geometry

Abstract

Motivated by orbifold string theory, we introduce orbifold cohomology group for any almost complex orbifold and orbifold Dolbeault cohomology for any complex orbifold. Then, we show that our new cohomology group satisfies Poincare duality and has a natural ring structure. Some examples of orbifold cohomology ring are computed.

Keywords

Cite

@article{arxiv.math/0004129,
  title  = {A New Cohomology Theory for Orbifold},
  author = {Weimin Chen and Yongbin Ruan},
  journal= {arXiv preprint arXiv:math/0004129},
  year   = {2009}
}

Comments

Correct some minor mistakes

R2 v1 2026-07-22T16:32:20.545Z