Acknowledgements

This work was supported by the National key research and development program of China (2017YFC0505004); by IMHE of CAS, 135 directional project: ecological restoration and security maintenance technology in the alpine gorge region of Western Sichuan; by the National Natural Science Foundation of China (41601206). We thank Mr. Zhi-qiang Xiao and Mr. George kontsevich for their important advice to the theories and text.