School of Mathematical Sciences, East China Normal University

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Liu, Bo ( 刘博 )

Title：	Professor
Department：	Pure Mathematics
Office：	Room 433, Math building
Telephone：	54342646-433
Email：	bliu@math.ecnu.edu.cn
Homepage：	http://math.ecnu.edu.cn/~bliu
Homepage2：	https://faculty.ecnu.edu.cn/_s42/lb2/main.psp

Research Interest

Global analysis on manifolds, Atiyah-Singer index theory, Differential K-theory

Resume

Resume and papers

Selected Publications

Recent Publications(From MathSciNet)

MR4609776 Reviewed Liu, Bo Bismut-Cheeger eta form and higher spectral flow. Int. Math. Res. Not. IMRN 2023, no. 13, 10964–10996. (Reviewer: Shu Shen) 58J28 (19K56 58J30)

Publication Year 2023 Indexed 2023-09-11 Review Published2024-02-18

MR4430017 Reviewed Liu, Bo; Ma, Xiaonan Comparison of two equivariant $\eta$ $\eta$ -forms. Adv. Math. 404 (2022), part A, Paper No. 108163, 76 pp. 58J28 (19K56)

Publication Year 2022 Indexed 2022-07-27 Review Published2023-11-14

MR4316135 Reviewed Liu, Bo Equivariant eta forms and equivariant differential K-theory. Sci. China Math. 64 (2021), no. 10, 2159–2206. (Reviewer: Pengshuai Shi) 58J28 (19K56 19L47 19L50 58J20 58J30 58J35)

Publication Year 2021 Indexed 2022-07-08 Review Published2023-06-12

MR4160875 Reviewed Liu, Bo; Ma, Xiaonan Differential $K$ $K$ -theory and localization formula for $\eta$ $\eta$ -invariants. Invent. Math. 222 (2020), no. 2, 545–613. (Reviewer: Yong Wang) 58J28 (19L50)

Publication Year 2020 Indexed 2020-12-01 Review Published2021-07-12

MR4031452 Reviewed Liu, Bo; Ma, Xiaonan Differential $K$ $K$ -theory, $\eta$ $\eta$ -invariant, and localization. C. R. Math. Acad. Sci. Paris 357 (2019), no. 10, 803–813. (Reviewer: Shu Shen) 58J28 (19L50)

Publication Year 2019 Indexed 2020-01-21 Review Published2020-10-07

MR3980274 Reviewed Liu, Bo Real embedding and equivariant eta forms. Math. Z. 292 (2019), no. 3-4, 849–878. (Reviewer: Rung-Tzung Huang) 58J28 (58J20 58J30 58J35)

Publication Year 2019 Indexed 2019-09-18 Review Published2020-01-30

MR3626562 Reviewed Liu, Bo Functoriality of equivariant eta forms. J. Noncommut. Geom. 11 (2017), no. 1, 225–307. (Reviewer: Jean-Marie Lescure) 58J28 (19K56 58J20 58J35)

Publication Year 2017 Indexed 2017-05-22 Review Published2017-09-27

MR3280048 Reviewed Liu, Bo; Yu, Jianqing Rigidity and vanishing theorems on $\Bbb{Z}/k$ $\Bbb{Z}/k$ Spin$^c$ $^c$ manifolds. Trans. Amer. Math. Soc. 367 (2015), no. 2, 1381–1420. (Reviewer: Anatoly Libgober) 58J26

Publication Year 2015 Indexed 2015-01-20 Review Published2015-05-13

MR3130633 Reviewed Yu, Jianqing; Liu, Bo On the Witten rigidity theorem for ${\rm string}^c$ ${\rm string}^c$ manifolds. Pacific J. Math. 266 (2013), no. 2, 477–508. (Reviewer: Yuri A. Kordyukov) 58J26 (53C27 58J20)

Publication Year 2013 Indexed 2014-02-18 Review Published2014-07-01

MR2746319 Reviewed Liu, Bo; Yu, JianQing On the anomaly formula for the Cappell-Miller holomorphic torsion. Sci. China Math. 53 (2010), no. 12, 3225–3241. (Reviewer: Luiz Hartmann) 58J52

Publication Year 2010 Indexed 2011-04-06 Review Published2012-01-06