Publications and Preprints by E. Meinrenken


    Preprint versions of most of the following articles are posted on the ArXiV .



  1. On the coadjoint Virasoro action, with A. Alekseev. Preprint (2022), 40 pages.

  2. Verlinde sums and [Q,R]=0, with Y. Loizides. Preprint (2022), 50 pages. Preliminary version PDF file.

  3. Singular Lie filtrations and weightings, with Y. Loizides. Preprint (2022), 25 pages.

  4. Differential geometry of weightings, with Y. Loizides. Preprint (2021), 38 pages.

  5. Quotients of double vector bundles and multigraded bundles, Preprint (2021), 22 pages. Journal of Geometric Mechanics 14 (2022), no. 2, 307–329

  6. On the integration of transitive Lie algebroids, Preprint (2020), 23 pages. Enseign. Math. 67 67 (2021), 423--454

  7. Euler-like vector fields, normal forms, and isotropic embeddings, Indagationes Mathematicae 32 (2021), 224-245.

  8. Van Est differentiation and integration, with M.A. Salazar. Mathematische Annalen. 376 (2020) 1395-1428.

  9. The Weil algebra of a double Lie algebroid, with J. Pike. International Mathematics Research Notices 2021 (2021), 8550-8622.

  10. Deformation spaces and normal forms around transversals, with F. Bischoff, H. Bursztyn, H. Lima. Compositio Mathematica. 156 (2020), 697-732.

  11. The decomposition formula for Verlinde sums, with Y. Loizides. Preprint (2018), 33 pages. Annales Institut Fourier 72 (2022), no. 3, 1207–1248.

  12. Spinor modules for Hamiltonian loop group spaces, with Y. Loizides, Y. Song. Journal of Symplectic Geometry 18 (2020), 889-937.

  13. Verlinde formulas for nonsimply connected groups. In: Lie groups, geometry, and representation theory, Progress in Mathematics (Birkhaeuser) 326 (2018) 381--417.

  14. Poisson Geometry from a Dirac perspective. Letters in Mathematical Physics 108 (2018), 447-498

  15. Splitting theorems for Poisson and related structures, with H. Bursztyn, H. Lima. J. Reine Angew. Math. 754 (2019), 281-312.

  16. Convexity for twisted conjugations, Mathematical Research Letters. 24 (2017), 1797-1818.

  17. Dirac geometry of the holonomy fibration, with A. Cabrera, M. Gualtieri. Comm. Math. Physics 355 (2017), 865--904.

  18. Dirac actions and Lu's Lie algebroid, Transformation Groups 22 (2017), 1081--1124.

  19. On the Van Est homomorphism for Lie groupoids, with D. Li-Bland. L'Enseignement Mathematique (2) 61 (2015), 93--137.

  20. Linearization of Poisson Lie group structures, with A. Alekseev. Journal of Symplectic Geometry. 14 (2016) 227--267.

  21. Clifford algebras and Lie Theory. Monograph, xx+321 pages. Ergebnisse der Mathematik und ihrer Grenzgebiete (2013) Springer.

  22. Lectures on group-valued moment maps and Verlinde formulas. Contemp. Math. 583 (2012), 175--210 PDF file.

  23. Dirac Lie groups, with D. Li-Bland. Asian Journal of Mathematics 18 (5) (2014), 779--816.

  24. On the Verlinde formulas for SO(3)-bundles, with D. Krepski. Quarterly Journal of Mathematics 64 (1) (2013) 235--252.

  25. Twisted K-homology and group-valued moment maps. International Mathematics Research Notices 2012 (20) (2012), 4563--4618.

  26. The cubic Dirac operator for infinite-dimensional Lie algebras. Canadian Journal of Mathematics 63 (3) (2011), 1364--1387 PDF file

  27. Dirac structures and Dixmier-Douady bundles, with A. Alekseev. International Mathematics Research Notices . 2012 (4) (2012), 904 - 956 PDF file

  28. Courant algebroids and Poisson geometry, with D. Li-Bland. International Mathematics Research Notices 11 (2009), 2106-2145. PDF file

  29. Tilings defined by affine Weyl groups. Pacific Journal of Mathematics 2 (2009), 333-343 PDF file

  30. The Atiyah algebroid of the path fibration over a Lie group, with A. Alekseev. Letters in Mathematical Physics 90 (2009), 23-58. PDF file

  31. Quantization of q-Hamiltonian SU(2)-spaces. Geometric Aspects of Geometry and Mechanics (in honor of the 65th birthday of Hans Duistermaat), Birkhaeuser, 2011. Pages 257--293. PDF file

  32. Pure spinors on Lie groups, with A. Alekseev and H. Bursztyn. Astérisque 327 (2009), 131--199. PDF file

  33. On the quantization of conjugacy classes. L'Enseignement Mathematique 55 (2009), 33-75. PDF file

  34. Lectures on pure spinors and moment maps. Poisson Geometry and Mathematical Physics, Contemporary Mathematics 450 (2008), 199--222 PDF file

  35. On the Kashiwara-Vergne conjecture, with A. Alekseev. Inventiones Mathematicae 164 (2006), 615--634 ArXiV

  36. Ginzburg-Weinstein via Gelfand-Zeitlin, with A. Alekseev. Journal of Differential Geometry 76 (2007), 1--34. projecteuclid

  37. Equivariant cohomology and the Cartan model, Overview article for the Encyclopedia of Mathematical Physics, Elsevier (2006) . PDF file

  38. Equivariant cohomology and the Maurer-Cartan equation, with A. Alekseev. Duke Mathematical Journal, 130 (3) (2005), 479-522 ArXiV

  39. Witten's formulas for intersection pairings on moduli spaces of flat G-bundles, Advances in Mathematics, 197 (1) (2005), 140-197 ArXiV

  40. Lie theory and the Chern-Weil homomorphism, with A. Alekseev. Ann. Sci. Ecole Norm. Sup. 38 (2) (2005), 303-338 Postscript file

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

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

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

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

  45. 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

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

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

  48. The Verlinde formulas as fixed point formulas, with A. Alekseev, C. Woodward. Journal of Symplectic Geometry 1 (2001), 1--46. projecteuclid. See also publisher's correction (they had left out some sections).

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

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

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

  52. 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.

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

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

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

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

  57. 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.

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

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

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

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

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

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

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

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

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

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

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

  69. Differentialgeometrische Methoden in der Kurzwellenasymptotik. Diplomarbeit, Freiburg (1990).