Department of Mathematics
In this paper we give a simplified proof of the flat Grothendieck–Riemann–Roch theorem. The proof makes use of the local family index theorem and basic computations of the Chern–Simons form. In particular, it does not involve any adiabatic limit computation of the reduced eta-invariant.
Eta form, Flat K-theory, Grothendieck–Riemann–Roch theorem
Source Publication Title
Journal of Geometry and Physics
© 2016 Elsevier B.V. All rights reserved.
Link to Publisher's Edition
Ho, M. (2016). The flat Grothendieck–Riemann–Roch theorem without adiabatic techniques. Journal of Geometry and Physics, 107, 162-174. https://doi.org/10.1016/j.geomphys.2016.05.016