Modular invariance and characteristic numbers

Kefeng Liu

Geometric Analysis and Geometric Topology mathscidoc:1912.43057

Communications in mathematical physics, 174, (1), 29-42, 1995.11
We prove that a general miraculous cancellation formula, the divisibility of certain characteristic numbers, and some other topological results related to the generalized Rochlin invariant, the -invariant and the holonomies of certain determinant line bundles, are consequences of the modular invariance of elliptic operators on loop space.
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@inproceedings{kefeng1995modular,
  title={Modular invariance and characteristic numbers},
  author={Kefeng Liu},
  url={http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20191221111306061266617},
  booktitle={Communications in mathematical physics},
  volume={174},
  number={1},
  pages={29-42},
  year={1995},
}
Kefeng Liu. Modular invariance and characteristic numbers. 1995. Vol. 174. In Communications in mathematical physics. pp.29-42. http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20191221111306061266617.
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