Differentiable stratified groupoids and a de Rham Theorem for inertia spaces,
joint with C. Farsi und Ch. Seaton, arXiv:1511.00371 (2015)
Whitney functions determine the real homotopy type of a semi-analytic set,
joint with B. Chriestenson, arXiv:1403.1627 (2014)
The profinite dimensional manifold structure of formal solution spaces of formally integrable PDE's,
joint with B. Güneysu, arXiv:1308.1005 (2013)
The transverse index theorem for proper cocompact actions of Lie groupoids,
joint with H. Posthuma and X. Tang, Journal of Differential Geometry 99, 443-472 (2015),
arXiv version available at arXiv:1301.0479
Stratifications of inertia spaces of compact Lie group actions,
joint with C. Farsi und Ch. Seaton, Journal of Singularities, Vol. 13, 107-140 (2015),
arXiv version available at arXiv:1207.0595
Quantization of Whitney functions and reduction,
joint with H. Posthuma and X. Tang, Journal of Singularities, Vol. 13, 217-228 (2015),
arXiv version available at arXiv:1310.6415
The localized longitudinal index theorem for Lie groupoids and the van Est map,
joint with H. Posthuma and X. Tang, Advances in Math. 270, 223-262 (2015),
arXiv version available at arXiv:1112.4857
The index of geometric operators on Lie groupoids,
joint with H. Posthuma and X. Tang, Indagationes Mathematicae, Volume 25, Issue 5, 1135-1153 (2014),
arXiv version available at arXiv:1308.0236
Geometry of orbit spaces of proper Lie groupoids,
joint with H. Posthuma and X. Tang, J. für die Reine und Angew. Math. 694, 49-84 (2014),
arXiv version available at arXiv:1101.0180
Quantization of Whitney functions,
joint with H. Posthuma and X. Tang, Travaux mathématiques, Vol. XX 2012, 153-165 (2012),
arXiv version available at arXiv:1202.5575
Connes-Chern character for manifolds with boundary and eta cochains,
joint with H. Moscovici and M. Lesch, Memoirs of the Amer. Math. Soc. Vol. 220, Nr. 1036 (2012),
arXiv version available at arXiv:0912.0194
Orbifold cup products and ring structures on Hochschild cohomologies
joint with H. Posthuma and X. Tang, Communications in Contemporary Mathematics 13, 123-182
(2001)
arXiv version available at arXiv:0706.0027
Cyclic cocycles on deformation quantizations and higher index theorems
joint with H. Posthuma and X. Tang, Advances in Math. 223, 1958-2021 (2010)
arXiv version available at arXiv:0805.1411
On the algebraic index for riemannian étale groupoids,
joint with H. Posthuma and X. Tang, Lett. in Math. Physics 90, No. 1 - 3, 287-310 (2009)
On the existence of star products on quotient spaces of linear
Hamiltonian torus actions
joint with H.-C. Herbig and S. Iyengar, Lett. in Math. Physics 89, No. 2, 101-113 (2009)
arXiv version available at arXiv:0811.2152
Relative pairing in cyclic cohomology and divisor flows
joint with M. Lesch and H. Moscovici, Journal of K-Theory, Volume 3, Issue 02, 359-407 (2009)
arXiv version available at arXiv:math/0603500
From Weyl quantization to modern algebraic index theory,
in Groups and Analysis: The Legacy of Hermann Weyl (Ed. Katrin Tent),
London Mathematical Society Lecture Note Series No. 354,
Cambridge University Press (2008)
Regularized traces and K-theory
invariants of parametric pseudodifferential operators,
joint with M. Lesch and H. Moscovici,
in Proceedings of the conference on Traces in Geometry, Number Theory and Quantum Fields
held at the Max-Planck-Institute, Bonn, October 2005, Eds. S. Albeverio, M. Marcolli, S. Paycha and J. Plazas,
Vieweg-Verlag, Wiesbaden (2008)
On the homology of algebras
of Whitney functions on subanalytic sets,
joint with J.P. Brasselet, Annals of Math. 167, No. 1, 1-52 (2008)
A homological approach to singular reduction in
deformation quantization,
joint with M. Bordemann and H.-C. Herbig,
in Singularity Theory
(Eds. Chéniot et.al.), dedicated to Jean-Paul Brasselet on his 60th birthday,
Proceedings of the 2005 Marseille Singularity School and Conference
CIRM, Marseille, France 24 January - 25 February 2005,
World Scientific (2007)
An algebraic index theorem for orbifolds,
joint with H. Posthuma and X. Tang, Advances in Math. 210, 83-121 (2007)
arXiv version available at arXiv:math/0507546
Deformation Theory,
Encyclopaedia in Mathematical Physics (Eds. J.-P. Francoise, G.L. Naber, and
T.S. Tsou), Elsevier (2006)
Homology of formal deformations of proper etale Lie groupoids,
joint with N. Neumaier, H. Posthuma and X. Tang,
Journal für die Reine und Angewandte Mathematik 593, 117-168 (2006)
Phase Space Reduction of Star Products on Cotangent Bundles,
joint with N. Kowalzig and N. Neumaier,
Annales Henri Poincare 6, No. 3, 485-552 (2005)
On the deformation quantization of symplectic orbispaces,
Diff. Geometry and its Applications 19, 343-368 (2003)
On representations of star
product algebras over cotangent spaces on Hermitian line bundles
joint with Martin Bordemann, Nikolai Neumaier
and Stefan Waldmann, J. of Func. Analysis 199, 1-47 (2003)
Analytic and Geometric Study of Stratified Spaces
Lecture Notes in Mathematics, vol. 1768, Springer-Verlag (2001)
Smooth structures on stratified spaces
in Quantization of Singular Symplectic Quotients,
Eds. N.P. Landsman, M. Pflaum, and M. Schlichenmaier,
Progress in Mathematics,
vol. 198, Birkhäuser-Verlag (2001), 231-258)
Continuous Hochschild homology for algebras of smooth functions
in Coherent States, Quantization and Gravity,
Proceedings of the XVII Workshop on Geometric Methods in Physics,
Bialowieza, Poland, July 1998,
Eds. M. Schlichenmaier, A. Strasburger, S.T. Ali, and A. Odzijewicz,
Wydawnictwa Uniwersytetu Warszawskiego (2001), 37-44)
A deformation theoretical approach to normal order quantization
Russ. J. Math. Physics 7, No. 1, 83-113 (2000)
Traces on algebras of parameter dependent pseudodifferential operators and the eta-invariant
joint with M. Lesch,
Trans. Amer. Math. Soc. 352 (2000), no. 11, 4911-4936)
Deformation quantization on cotangent bundles
Reports on Mathematical Physics 43, 291-297 (1999)
A deformation theoretical approach to Weyl quantization on Riemannian manifolds
Lett. Math. Physics 45, 277-294 (1998)
Holomorphic deformation of Hopf algebras and application to quantum groups
joint with M. Schottenloher, Journal of
Geometry and Physics 28, 31-44 (1998)
The
normal symbol on Riemannian manifolds
New York Journal of Mathematics 4, 97-125 (1998)
On continuous Hochschild homology and cohomology groups
Lett. Math. Physics 44, 43-51 (1998)
Differential calculi on noncommutative bundles
joint with Peter Schauenburg, Z. Phys. C 76,
733-744 (1997)
Quantum groups on fibre bundles
Comm. Math. Physics 166, 279-315 (1994)
Liber Mathematicae: a web-based documentation and collaboration project for mathematics
joint with J. Tuley,
in Mathematics journals:
what is valued and what may change.
Report of the workshop held at MSRI, Berkeley, California on
February 14 - 16, 2011,
extended version available at arXiv:1102.5720 (2011)
Poisson geometry and applications
Abstracts from the workshop held April 29-May 5, 2007.
Organized by Anton Alekseev, Rui Loja Fernandes, Eckhard Meinrenken and Markus Pflaum.
Oberwolfach Rep. 4, no. 2, 1243-1298 (2007)
Noncommutative Geometry and Global Analysis, Proceedings of a conference in honor of Henri Moscovici
Edited by A. Connes, A. Gorokhovsky, M. Lesch, M.J. Pflaum, and B. Rangipour,
Contemporary Mathematics 546, Amer. Math. Soc. (2011)
Quantization of singular symplectic quotients
Edited by N.P. Landsman, M. Pflaum and M. Schlichenmaier,
Progress in Mathematics 198, Birkhäuser Verlag, Basel (2001)
Ein Beitrag zur Geometrie und Analysis auf stratifizierten
Räumen
Habilitation Thesis,
Mathematisch-Naturwissenschaftlichen Fakultät II der
Humboldt-Universität zu Berlin, April 2000
Local Analysis of Deformation Quantization
Dissertation, Universität München, August 1995
Quantengruppen auf Faserbündeln
Diploma Thesis, Sektion Physik, Universität München,
November 1992
Habilitation Talk
Gibt es in der Mathematik ein Pfadintegral?
Humboldt Universität zu Berlin, 10. Januar 2001
Cyclic homology of deformation quantizations over orbifolds
talk at the CMS Winter 2006 Meeting, December 9-11, 2006