Analytic Torsion Forms and Eta Forms 
Formes de torsion analytique et familles de submersions,
I. Bull. Soc. Math. France 127 (1999), 541-621 [pdf],
II.  Asian J. Math. 4 (2000), 633-667 [pdf],
announced in C. R. Acad. Sci. Paris Série I 324 (1997), 205-210.

Submersions and equivariant Quillen metrics [pdf]
Ann. Inst. Fourier (Grenoble) 50 (2000), 1539-1588.

Flat vector bundles and analytic torsion forms [pdf],
Séminaire de Théorie Spectrale et Géométrie, Vol. 19,
Univ. Grenoble I, Saint, 2001, 25-40.

Functoriality of real analytic torsion forms [pdf],
Israel J. Math. 131 (2002), 1-50.

With J.-M. Bismut 
Holomorphic immersions and equivariant torsion forms [pdf],
J. Reine Angew. Math. 575 (2004), 189-235.
announced in C. R. Math. Acad. Sci. Paris 334 (2002), 893-897.

With J. Brüning 
An anomaly formula for Ray-Singer metrics on manifolds with boundary [pdf],
Geom. Funct. Anal. 16 (2006), 767-837.
announced in C. R. Math. Acad. Sci. Paris 335 (2002), 603-608.

Formes de torsion analytique et fibrations singulières [pdf],
Nonlinear hyperbolic equations, spectral theory, and wavelet transformations,
Oper. Theory Adv. Appl., vol. 145, Birkhäuser, Basel (2003), 395-418.

With U. Bunke 
Index and secondary index theory for flat bundles with duality [pdf],
Aspects of boundary problems in analysis and geometry, 
Oper. Theory Adv. Appl., vol. 151, Birkhäuser, Basel (2004), 265-341.

Orbifolds and analytic torsions [pdf],
Trans. Amer. Math. Soc. 357 (2005), 2205--2233.

With  H. Feng 
Transversal holomorphic section and localization of analytic torsions [pdf],
Pacific J. Math. 219 (2005), 255-271.

With W. Zhang 
Eta-invariants, torsion forms and flat vector bundles [pdf],
Math. Annalen. 340 (2008), 569-624. 

With W. Zhang 
Eta-invariant and flat vector bundles [pdf],
Chinese Ann. Math. Ser. B. 27 (2006), 67-72. 

With 
W. Zhang 
An anomaly formula for L^2-analytic torsions on manifolds with boundary
 [pdf],  
Analysis, Geometry and Topology of Elliptic Operators:
Papers in Honor of Krzysztof P Wojciechowski.  
Eds. B. Booss-Bavnbek, S. Klimek, M. Lesch and W. Zhang,  
World Scientific (2006), 235--262.

With W. Zhang 
Eta-invariant and flat vector bundles II [pdf], 
Inspired by S. S. Chern. Ed. P. A. Griffiths, 
Nankai Tracts in Mathematics. Vol. 11. World Scientific, 2006, 335-350.
Elliptic Genera
With K. Liu 
On family rigidity theorems. I [pdf],
Duke Math. J. 102 (2000), 451-474.

With K. Liu 
On family rigidity theorems for Spin^c manifolds [pdf],
Mirror symmetry, IV (Montreal, QC, 2000), 
AMS/IP Stud. Adv. Math. vol. 33,
Amer. Math. Soc., Providence, RI (2002), 343-360.

With K. Liu  and W. Zhang 
Rigidity and vanishing theorems in K-theory [pdf],
Comm. Anal. Geom. 11 (2003), 121-180.
announced in C. R. Acad. Sci. Paris Série I 330 (2000), 301-305.

With K. Liu  and W. Zhang 
Spin^c manifolds and rigidity theorems in K-theory [pdf],
Asian J. Math. 4 (2000), 933-959.

With K. Liu  and W. Zhang 
On elliptic genera and foliations [pdf],
Math. Res. Lett. 8 (2001), 361-376.

With C. Dong  and K. Liu 
On orbifold elliptic genus [pdf],
Orbifolds in mathematics and physics (Madison, WI, 2001),
Contemp. Math., vol. 310, 
Amer. Math. Soc., Providence, RI (2002), 87-105.

With C. Dong  and K. Liu 
Elliptic genus and vertex operator algebras [pdf],
Pure and Applied Mathematics Quarterly. 1 (2005), 791-815.

With C. Dong ,  K. Liu  and J. Zhou 
K-theory associated to vertex operator algebras [pdf],
Math. Res. Lett. 11 (2004), 629-647.
Bergman Kernels and Geometric quantization
With G. Marinescu 
The Spin^c Dirac operator on high tensor powers of a line bundle [pdf],
Math. Z. 240 (2002), 651-664.

With X. Dai  and K. Liu 
On the asymptotic expansion of Bergman kernel [pdf],
J. Differential Geom. 72 (2006), 1-41. 
announced in C. R. Math. Acad. Sci. Paris 339 (2004), 193-198.

With G. Marinescu 
Generalized Bergman kernels on symplectic manifolds [pdf],
Adv. Math.  217 (2008), 1756-1815.
announced in C. R. Math. Acad. Sci. Paris 339 (2004), 493-498.

With G. Marinescu 
Toeplitz operators on symplectic manifolds, [pdf], 
J. Geom. Anal.  18 (2008), 565-611.

With G. Marinescu 
The first coefficients of the asymptotic expansion of 
the Bergman kernel of the spin^c Dirac operator [pdf], 
Internat. J. Math. 17 (2006), 737--759.
 
With W. Zhang 
Bergman kernels and symplectic reduction [pdf],
Astérisque 318 (2008), 154 pp.
announced in C. R. Math. Acad. Sci. Paris 341 (2005), 297-302.

With W. Zhang 
Toeplitz quantization and symplectic reduction [pdf],
Differential Geometry and Physics. Eds. M.-L. Ge and W. Zhang, 
Nankai Tracts in Mathematics Vol. 10, World Scientific, 2006, 343-349.

With K. Liu 
A remark on 'Some numerical results in complex differential geometry' [pdf].
Math. Res. Lett.  14 (2007), 165-171.

With W. Zhang 
Superconnection and family Bergman kernels [pdf],
announced in C. R. Math. Acad. Sci. Paris 344 (2007), 41-44.

With K. Liu 
Asymptotic of the operators Q_k [pdf],
Appendix to "Calabi flow and projective embeddings" 
by J. Fine, arXiv:0811.0155.

With W. Zhang 
Geometric quantization for proper moment maps [pdf],
announced in C. R. Math. Acad. Sci. Paris 347 (2009), 389-394.
Books
With G. Marinescu 
Holomorphic Morse inequalities and Bergman kernels,
Progress in Mathematics 254, 
Birkhäuser Boston, Inc., Boston, MA. 2007, 422 pp.
Award winning monograph of the 2006 Ferran Sunyer i Balaguer Prize.

With W. Zhang 
Bergman kernels and symplectic reduction [pdf],
Astérisque 318 (2008), 154 pp.
Translation to chinese
With Y.Yao 
Opérateurs pseudo-différentiels et théorème de Nash-Moser
(English: Pseudo-differential Operators and the Nash-Moser Theorem)
by Serge Alinhac and Patrick Gérard 
Mémoire
Théorie de l'indice local et applications [pdf],
Habilitation à diriger des recherches, Paris-Sud, le 25 mai, 2005.  


Last modified: 16/11/2005