A New Cohomology Theory for Orbifold

2000/04/30 by Weimin Chen, Yongbin Ruan · 2 citations
Mathematics · Physics and Astronomy · #math.AG #hep-th #math.DG #math.SG

paper · pdf · doi:10.1007/s00220-004-1089-4

published as Commun.Math.Phys. 248 (2004) 1-31 · Correct some minor mistakes

arxiv created 2001/03/15 · arxiv updated 2009/11/30

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.

Cited by

• On Gromov--Witten invariants of ℙ¹-orbifolds and topological difference equations
• Generalized Symmetries of Non-SUSY and Discrete Torsion String Backgrounds