K-Theory Torsion

Details K-Theory Torsion K-Theory Torsion

2000-05-11

arxiv.org/abs/hep-th/0005103v2

Physics

High Energy Physics

High Energy Physics - Theory

17 pages, LaTeX; corrected and easier CY example, mini-outline added, minor changes

Scientific paper

The Chern isomorphism determines the free part of the K-groups from ordinary cohomology. Thus to really understand the implications of K-theory for physics one must look at manifolds with K-torsion. Unfortunately there are not many explicit examples, and usually for very symmetric spaces. Cartesian products of RP^n are examples where the order of the torsion part differs between K-theory and ordinary cohomology. The dimension of corresponding branes is also discussed. An example for a Calabi-Yau manifold with K-torsion is given.

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