Title: Real embedding and equivariant eta forms,
Abstract: In 1993, Bismut and Zhang establish a mod Z embedding formula of
Atiyah-Patodi-Singer reduced eta invariants. In this paper, we explain the
hidden mod Z term as a spectral flow and extend this embedding formula to the
equivariant family case. In this case, the spectral flow is generalized to the
equivariant chern character of some equivariant Dai-Zhang higher spectral flow.