E. Meinrenken's Research

Publications:

1. The basic gerbe over a compact simple Lie group, L'Enseignement Mathematique 49 (2003), 307--333. Postscript file

2. Clifford algebras and the classical dynamical Yang-Baxter equation, with A. Alekseev. Mathematical Research Letters 10 (2003), 253--268. Postscript file

3. Poisson Geometry and the Kashiwara-Vergne conjecture, with A. Alekseev. C. R. Acad, Sci. Paris. 335 (2002), 723--728. Postscript file

4. Clifford algebras and the Duflo isomorphism, Proceedings of the ICM Beijing 2002, volume II: Invited lectures. Postscript file

5. Duistermaat-Heckman measures and moduli spaces of flat bundles over surfaces, with A. Alekseev, C. Woodward. Geometric and Functional Analysis 12 (2002), 1--31. Postscript file

6. Linearization of Poisson actions and singular values of matrix products, with A. Alekseev, C. Woodward. Annales Institut Fourier 51 (2001), 1691--1717. Postscript file

7. Quasi-Poisson manifolds, with A. Alekseev, Y. Kosmann-Schwarzbach. Canadian Journal of Mathematics 54 (2002), 3--29. Postscript file

8. The Verlinde formulas as fixed point formulas, with A. Alekseev, C. Woodward. Journal of Symplectic Geometry 1 (2001), 1--46. Postscript file

9. Group-valued equivariant localization, with A. Alekseev, C. Woodward. Inventiones Mathematicae 140 (2000), 327--350.

10. The non-commutative Weil algebra, with A. Alekseev. Inventiones Mathematicae 139 (2000), 135--172.

11. An elementary derivation of certain classical dynamical r-matrices, with A. Alekseev. Advances in the Mathematical Sciences 201 L. D. Faddeev's Seminar on Mathematical Physics. A.M.S., 2000.

12. Canonical bundles for Hamiltonian loop group spaces, with C. Woodward. Pacific Journal of Mathematics 198 (2001), 477--487

13. Hamiltonian loop group actions and Verlinde factorization, with C. Woodward. Journal of Differential Geometry 50 (1999), 417--470

14. Cobordism for Hamiltonian loop group actions and flat connections on the punctured two-sphere, with C. Woodward. Mathematische Zeitschrift 231 (1999), 133--168

15. Lie group valued moment maps, with A. Alekseev, A. Malkin. Journal of Differential Geometry 48 (1998), 445--495.

16. Moduli spaces of flat connections on 2-manifolds, cobordism, and Witten's volume formulas, with C. Woodward. Advances in Geometry, Progr. Math. 172 271--295, Birkhaeuser Boston, 1999.

17. Singular reduction and quantization, with R. Sjamaar. Topology 38 (1999), 699-763.

18. Non-abelian convexity by symplectic cuts with E. Lerman, S. Tolman, C. Woodward. Topology 37 (1998), 245--259.

19. Symplectic surgery and the Spin-c Dirac operator. Advances in Mathematics 134 (1998), 240--277

20. Symplectic reduction and Riemann-Roch for circle actions, with H. Duistermaat, V. Guillemin, S. Wu. Mathematical Research Letters 2 (1995), 259-266.

21. On Riemann-Roch formulas for multiplicities. Journal of the American Mathematical Society 9 (1996), 373-390.

22. Vielfachheitsformeln fuer die Quantisierung von Phasenraeumen. Ph.D. Thesis, Freiburg (1994).

23. Toeplitz quantization of Kaehler manifolds, with M. Bordemann, M. Schlichenmaier. Communications in Mathematical Physics 165 (1994), 281--296.

24. Coherent states and classical limits. Journal of Physics A 27 (1994), 3257-3265.

25. Maslov indices for periodic orbits. Conference Proceedings Salamanca 1992 Vol.II, CIEMAT (1993), 414-417

26. Trace formulas and the Conley-Zehnder index. Journal of Geometry and Physics (1994), 1-15.

27. Semiclassical principal symbols and Gutzwiller's trace formula. Reports in Mathematical Physics 31 (1992), 279-295.

Preprints:

1. Witten's formulas for intersection pairings on moduli spaces of flat G-bundles, November 2003. Postscript file

2. Lie theory and the Chern-Weil homomorphism, with A. Alekseev. August 2003. Postscript file

3. Verlinde formulas for non-simply connected groups, preliminary version, with A. Alekseev, C. Woodward. May 2000. Postscript file