On Bott-Chern forms with applications to differential K-theory

Details On Bott-Chern forms with applications to differential K-theory On Bott-Chern forms with applications to differential K-theory

2011-02-05

arxiv.org/abs/1102.1105v2

Mathematics

Differential Geometry

24 pages. Typos corrected, reference updated and arguments in Section 3.3 are simplified

Scientific paper

We use Chern-Weil theory for Hermitian holomorphic vector bundles with canonical connections for explicit computation of the Chern forms for trivial bundles with special non-diagonal Hermitian metrics. We prove that every del-dellbar exact real form of type (k,k) on an n-dimensional complex manifold X arises as a difference of the Chern character forms on trivial Hermitian vector bundles with canonical connections, and that (modulo the image of del and delbar) every real form of type (k,k), k

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