Relative differential K-characters

Mathematics – K-Theory and Homology

Scientific paper

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Published in SIGMA (Symmetry, Integrability and Geometry: Methods and Applications) at http://www.emis.de/journals/SIGMA/

Scientific paper

10.3842/SIGMA.2008.035

We define a group of relative differential K-characters associated with a
smooth map between two smooth compact manifolds. We show that this group fits
into a short exact sequence as in the non-relative case. Some secondary
geometric invariants are expressed in this theory.

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