Abstract
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.
Original language | English |
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Pages (from-to) | 162-174 |
Number of pages | 13 |
Journal | Journal of Geometry and Physics |
Volume | 107 |
DOIs | |
Publication status | Published - 1 Sept 2016 |
User-Defined Keywords
- Eta form
- Flat K-theory
- Grothendieck–Riemann–Roch theorem