On the Witten genus in the case of string^c structure:
Qingtao Chen, Fei Han, Weiping Zhang, Generalized Witten Genus and Vanishing Theorems, Journal of Differential Geometry 88.1 (2011): 1-39. (arXiv:1003.2325)
Qingtao Chen, Fei Han, Elliptic Genera, Transgression and Loop Space Chern-Simons Forms, Communications in Analysis and Geometry Volume 17 (2009) Number 1 (arXiv:math/0611104, doi:10.4310/CAG.2009.v17.n1.a4)
On the volume conjecture:
Qingtao Chen, Tian Yang, A volume conjecture for a family of Turaev-Viro type invariants of 3-manifolds with boundary (arXiv:1503.02547)
Qingtao Chen, Kefeng Liu, Shengmao Zhu, Volume conjecture for -invariants (arXiv:1511.00658)
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