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** Selected recent publications **

V. Mathai, J. Rosenberg,
T-duality for circle bundles via noncommutative geometry,
*Advances in Theoretical and Mathematical Physics* (to appear) 18 pages,
**[1306.4198] **
M-T. Benameur, V. Mathai,
Index type invariants for twisted signature complexes and homotopy invariance,
*Mathematical Proceedings of the Cambridge Philosophical Society,*
**156** no.3 (2014) 473-503,
**[1202.0272] **
R. Dey, V. Mathai,
Holomorphic Quillen determinant line bundles on integral compact Kahler
manifolds, *The Quarterly J. of Mathematics,*
Quillen memorial issue, ** 64** (2013), 785-794,
**[1202.5213] **
M-T. Benameur, V. Mathai,
Conformal invariants of twisted Dirac operators and positive scalar curvature
*Journal of Geometry and Physics,*
**70** (2013) 39-47,
**[1210.0301] **
** Erratum**, *Journal of Geometry and Physics,*
**76** (2014) 263-264.
V. Mathai and S. Wu, Topology and Flux of T-Dual Manifolds with Circle Actions,
*Communications in Mathematical Physics,*
**316** (2012) 279-286.
**[1108.5045] **
P. Bouwknegt, V. Mathai and S. Wu,
Bundle gerbes and moduli spaces,
*J. Geometry and Physics,*,
**62** no.1, (2012) 1-10,
**[1107.3687] **
V. Mathai and S.Wu,
Analytic torsion for twisted de Rham complexes,
* J. Differential Geometry,*
**88** (2011) 297-332,
**[0810.4204] **
V. Mathai and J. Rosenberg, A noncommutative sigma-model,
* J. Noncommutative Geometry, *
**5** no 2 (2011) 265-294,
**[0903.4241] **
V. Mathai, W. Zhang,
Geometric quantization for proper actions,
*Advances in Mathematics*,
**225** no.3 (2010) 1224--1247
** [0806.3138v2] **
P. Bouwknegt, K. Hannabuss, V. Mathai,
C*-algebras in tensor categories,
*Clay Mathematics Proceedings,*
**12** (2010) 127-165.
** [math.QA/0702802] **
V. Mathai, R.B. Melrose, I.M. Singer,
The index of projective families of elliptic operators: the decomposable case,
* Asterisque,* **328** (2009) 255-296,
**[0809.0028] **
P. Chakraborty, V. Mathai,
The geometry of determinant line bundles in noncommutative geometry,
* J. Noncommutative Geometry, *
**3** no.4 (2009) 559-578.
** [0804.3232v2] **
J. Brodzki, V. Mathai, J. Rosenberg, R. Szabo,
Noncommutative correspondences, duality and D-branes in bivariant K-theory,
*Advances in Theoretical and Mathematical Physics,*
**13** no. 2 (2009) 497-552.
** [0708.2648] **
V. Mathai, R.B. Melrose and I.M. Singer,
Equivariant and fractional index of projective elliptic operators,
* J. Differential Geometry, *
**78** no.3 (2008) 465-473.
**[math.DG/0611819]**
J. Brodzki, V. Mathai, J. Rosenberg and R. Szabo,
D-Branes, RR-Fields and Duality on Noncommutative Manifolds,
*Communications in Mathematical Physics,*
**277**, no.3 (2008) 643-706.
** [hep-th/0607020] **
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