### Publications

Adiabatic limits, the non-multiplicativity of signature and
Leray spectral sequence, Journal of A. M. S. vol 4 (1991), pp
256-321. pdf file

Geometric invariants and their adiabatic limits. 145--156,
Proc. Sympos. Pure Math., 54, Part 2, Amer. Math. Soc.,
Providence, RI, 1993. pdf file

Eta invariants and determinant lines, J. Math. Phys., 35(1994),
5155-5194. with Dan Freed pdf file

Negative Ricci curvature and isometry group, Duke Math J.,
76(1994), 59-73. with Zhongmin Shen and Guofang Wei pdf file

Finite part of the spectrum and isospectrality, Contemp. Math
173(1994), pp. 99-107 with Guofang Wei pdf
file

The Atiyah-Patodi-Singer index theorem: a proof via embedding,
C. R. Acad. Sci, Paris, Series I, 319(1994), pp 1293-1297. with
Weiping Zhang pdf file

Invariants eta et droites determinants, C. R. Acad. Sci.,
Paris, Series I, 320(1995), pp 585-591. with Dan Freed pdf file

Circle bundles and the Kreck-Stolz invariant, Trans. A. M. S.,
347(1995), pp 3587-3593. with Weiping Zhang pdf file

A Toponogov type comparison estimate for the Ricci curvature,
Math. Ann. 303(1995), 297-306. with Guofang Wei pdf file

Higher spectral flows, Math. Res. Letters 3(1996), 93-102. with
Weiping Zhang pdf file

Smoothing Riemannian metrics with Ricci curvature bounds, Manu.
Math. 90(1996), 46-61. with Guofang Wei and Rugang Ye pdf file

Splitting of the family index, Comm. Math. Phys. 182(1996), pp
303-317. with Weiping Zhang pdf file

Higher spectral flows, J. Funct. Anal. 157(1998), pp 432-469.
with Weiping Zhang pdf file

Analytic torsion and R-torsion for manifolds with boundary,
Asian J. Math. 4(2000), pp695-714. with Hao Fang pdf file

Integral Pinching Theorems, Manu. Math. 101(2000), pp143-152.
with Peter Petersen and Guofang Wei pdf
file

Real embeddings and the Atiyah-Patodi-Singer index theorem for
Dirac operators, Asian J. Math. 4(2000), pp775-794. with Weiping
Zhang pdf file

APS boundary conditions, eta invariants and adiabatic limits,
Trans. AMS, 354(2002), pp107-122. pdf
file

A heat kernel lower bound for integral Ricci curvature,
Michigan J. Math. 52(2004), pp61-69. with Guofang Wei pdf file

A Positive Mass Theorem for Spaces with Asymptotic SUSY
Compactification, Comm. Math. Phys., 244(2004), 335-345. pdf file

On the asymptotic expansion of Bergman kernel, C. R. Acad. Sci,
Paris, Series I 339(2004), 193-198. with Kefeng Liu and Xiaonan Ma
pdf file

A Note on Positive Energy Theorem for Spaces with Asymptotic
SUSY Compactification, Journal of Mathematical Physics, 46(2005),
042505-1 -- -7. pdf file

Eta invariant and conformal cobordism, Annals of Global
Analysis and Geometry, 27(2005), 333-340. pdf file

On the Stability of Riemannian Manifold with Parallel Spinors,
Invent. Math. 161(2005), 151-176. with Xiaodong Wang and Guofang
Wei pdf file

On the asymptotic expansion of Bergman kernel, Journal of
Differential Geometry 72(2006), 1-41. with Kefeng Liu and Xiaonan
Ma pdf file

Eta invariants for manifold with boundary, Analysis, Geometry
and Topology of Elliptic Operators, World Scientific and Imperial
College Press, 2006, 141-172 pdf file

An index theorem for Toeplitz operators on odd dimensional
manifolds with boundary, J. Funct. Anal. 238 (2006), no. 1, 1--26.
with Weiping Zhang pdf file

Hitchin-Thorpe Inequality for Noncompact Einstein
$4$-Manifolds, Advance in Math. 214 (2007) , no. 2, 551-570. with
Guofang Wei pdf file

Mass under the Ricci flow, Comm. Math. Phys. 274 (2007), 65-80.
with Li Ma pdf file

On the variational stability of Kahler-Einstein metrics, Comm.
Anal. Geom. 15 (2007), 669-693. with Xiaodong Wang and Guofang Wei
pdf file

Stability of Einstein metrics and spin structures, Proceedings
of the 4th International Congress of Chinese Mathematicians
(2007), Vol. II, 59-72. pdf file

$L^2$-cohomology of Spaces of Non-isolated Conical Singularity
and Non-multiplicativity of signature, Progress in Mathematics
(2009), 271 Birkh\"auser, 1-24. with Jeff Cheeger pdf file

Adiabatic limit, Bismut-Freed connection and real analytic
torsion form, Journal f\"ur die reine und angewandte Mathematik
(Crelle's Journal), 2010. with Weiping Zhang pdf file

An Introduction to L2 Cohomology, to appear in Topology
of Stratified Spaces, MSRI Publications, vol. 58, 2010. pdf file

Adiabatic limit, heat kernels and analytic torsions, Progress
in Mathematics, Vol 297 Birhauser， 233-298。 with Richard Melrose pdf file

A remark on weighted Bergman kernel on orbifolds, Math Research
Letters, 19 (2012), no. 01, 1–6. with K. Liu and X. Ma pdf file

Eta invariants for even dimensional manifolds, Fifth
International Congress of Chinese Mathematicians. Part 1, 2,
51–60, AMS/IP Stud. Adv. Math., 51, pt. 1, 2, Amer. Math. Soc.,
Providence, RI, 2012. pdf file

Eta Invariant and Holonomy: the even dimensional case, Adv. In
Math. 279(2015), 291-306. with W. Zhang pdf file

Comparison between two analytic torsions on orbifolds, Math Z.
(to appear), with J. Yu pdf file
### Recent Preprints

#### The intersection R-torsion of
a finite cone,

with Xiaoling Huang pdf file

#### Local Sobolev constant
estimate for integral Ricci curvature bounds,

with G. Wei and Z. Zhang pdf file

### Books and Lecture Notes

Metric and Differential Geometry, the Jeff Cheeger Anniversary
Volume. Progress in Mathematics, Vol 297 Birhauser. Co-edited with
X. Rong

From probability to geometry (I), Volume in honor of the 60th
Birthday of Jean-Michel Bismut， Asterique, vol. 327, 1-424.
Co-edited with Remi Leandre, Xiaonan Ma and Weiping Zhang.

From probability to geometry (II), Volume in honor of the 60th
Birthday of Jean-Michel Bismut， Asterique, vol. 328, 1-393.
Co-edited with Remi Leandre, Xiaonan Ma and Weiping Zhang.

Lectures On Dirac Operators And Index Theory pdf file

Comaprison Geometry for Ricci Curvature, with Guofang Wei pdf file