Stringc structures and modular invariants

Ruizhi Huang Chinese Academy of Sciences Fei Han National University of Singapore Haibao Duan Chinese Academy of Sciences

Differential Geometry Geometric Analysis and Geometric Topology Algebraic Topology and General Topology mathscidoc:2109.10001

TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 374, (5), 3491–3533, 2021.5
In this paper, we study some algebraic topology aspects of Stringc structures, more precisely, from the perspective of Whitehead tower and the perspective of the loop group of Spinc(n). We also extend the generalized Witten genera constructed for the first time by Chen et al. [J. Differential Geom. 88 (2011), pp. 1–40] to correspond to Stringc structures of various levels and give vanishing results for them.
string and twisted string structure, classifying spaces, Witten genus, Petrie conjecture, characteristic classes
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@inproceedings{ruizhi2021stringc,
  title={Stringc structures and modular invariants},
  author={Ruizhi Huang, Fei Han, and Haibao Duan},
  url={http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20210901150743651511871},
  booktitle={TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY},
  volume={374},
  number={5},
  pages={3491–3533},
  year={2021},
}
Ruizhi Huang, Fei Han, and Haibao Duan. Stringc structures and modular invariants. 2021. Vol. 374. In TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY. pp.3491–3533. http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20210901150743651511871.
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