Modular invariance, characteristic numbers and $\eta$ invariants
Differential Geometry
2007-05-23 v1 High Energy Physics - Theory
Algebraic Topology
Abstract
We generalize the "miraculous cancellation" formulas of Alvarez-Gaum\'e, Witten and Kefeng Liu to a twisted version where an extra complex line bundle is involved. We also apply our result to discuss intrinsic relations between the higher dimensional Rokhlin type congruence formulas of Ochanine [O1], Finashin [F] and Zhang [Z1, 2]. In particular, an analytic proof of the Finashin congruence formula is given.
Cite
@article{arxiv.math/0305289,
title = {Modular invariance, characteristic numbers and $\eta$ invariants},
author = {Fei Han and Weiping Zhang},
journal= {arXiv preprint arXiv:math/0305289},
year = {2007}
}
Comments
22 pages