Liubo

2013.12 Ph.D., Mathematics, Chern Institute of Mathematics, Nankai University of China. 

2014-2016 Postdoc: Universität zu Köln; Humboldt-Universität zu Berlin in Germany.

2017-2019 Postdoc in East China Normal University

2019-2020 Young Researcher in ECNU

2021-   Professor in ECNU

Research field

Differential Geometry.

Special interests

Global analysis on manifolds, local index theory and differential K-theory.

Main research objects

Analytic and differential-topological properties of Atiyah-Patodi-Singer eta-invariant, Bismut-Cheeger eta form, Ray-Singer analytic torsion, elliptic genera and related objects, especially on relations between eta forms and differential K-theory.

Publications

[1] (with Jianqing Yu) On the Anomaly Formula for the Cappell-Miller Holomorphic Torsion. Sci. China Math.. 2010, 53(12): 3225-3241.

[2] (with Jianqing Yu) On the Witten Rigidity Theorem for Stringc Manifolds. Pacific J. Math., 2013, 266(2): 477-508.

[3] (with Jianqing Yu) Rigidity and Vanishing Theorems on Z/k Spinc manifolds. Trans. Amer. Math. Soc. 2015, 367(2), 1381–1420.

[4] Functoriality of Equivariant Eta Forms. Journal of Noncommutative Geometry. 2017, 11(1), 225-307.

[5] Real embedding and Equivariant Eta Forms. Math. Z. 292 (2019), 849-878.

[6] (with Xiaonan Ma) Differential K-theory, eta-invariant, and localization. C. R. Math. Acad. Sci. Paris. 357(10) (2019), 803--813.

[7](with Xiaonan Ma) Differential K-theory and localization formula of eta invariants. Invent. Math. 222(2) (2020), 545-613.

[8] Equivariant Eta Forms and Equivariant Differential K-Theory. Sci. China Math. 64(10) (2021), 2159-2206. 

[9] (with Xiaonan Ma) Comparison of two equivariant eta forms. Adv. Math. 404 (2022), paper No. 108163. 76pp.

[10] Bismut-Cheeger eta form and higher spectral flow. IMRN (online 2022) https://doi.org/10.1093/imrn/rnac157. 33 pp.