Mickelsson's twisted K-theory invariant and its generalizations
Algebraic Topology
2013-03-22 v1 K-Theory and Homology
Abstract
Mickelsson's invariant is an invariant of certain odd twisted K-classes of compact oriented three dimensional manifolds. We reformulate the invariant as a natural homomorphism taking values in a quotient of the third cohomology, and provide a generalization taking values in a quotient of the fifth cohomology. These homomorphisms are related to the Atiyah-Hirzebruch spectral sequence. We also construct some characteristic classes for odd twisted K-theory in a similar vein.
Keywords
Cite
@article{arxiv.1303.5159,
title = {Mickelsson's twisted K-theory invariant and its generalizations},
author = {Kiyonori Gomi},
journal= {arXiv preprint arXiv:1303.5159},
year = {2013}
}
Comments
45 pages, LaTeX 2e