nLab Eckhard Meinrenken

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Selected writings

On geometric quantization of compact Kähler manifolds:

• Martin Bordemann, Eckhard Meinrenken, Martin Schlichenmaier, Toeplitz Quantization of Kähler Manifolds and $gl(N)$ $N\to\infty$, Commun. Math. Phys. 165 (1994) 281-296 [arXiv:hep-th/9309134, doi:10.1007/BF02099772]

On the basic bundle gerbe over a compact simple Lie group:

• Eckhard Meinrenken, The basic gerbe over a compact simple Lie group, Enseign. Math. (2) 49 (2003), no. 3-4, 307-333 [arXiv:math/0209194, e-periodica]

On Lie groups and Lie algebras:

• Eckhard Meinrenken, Lie groups and Lie algebas, Lecture notes 2010 (pdf)

On Clifford algebras and Lie groups:

• Eckhard Meinrenken, Clifford algebras and Lie groups, Ergebn. Mathem. & Grenzgeb., Springer (2013) [doi:10.1007/978-3-642-36216-3]

On the image in K-theory of Chan-Paton gauge fields over conjugacy classes giving the Verlinde ring/the positive energy representations of the loop group:

• Eckhard Meinrenken, On the quantization of conjugacy classes, Enseign. Math. (2) 55 (2009), no. 1-2, 33-75 (arXiv:0707.3963)

On twisted K-homology:

• Eckhard Meinrenken, Twisted K-homology and group-valued moment maps (2010) (arXiv:1008.1261)

On smooth transformation groups/G-spaces (Lie group-group actions on smooth manifolds in relation to Chern-Weil theory and equivariant de Rham cohomology:

• Eckhard Meinrenken, Group actions on manifolds, Lecture Notes 2003 (pdf, pdf)

On equivariant de Rham cohomology:

• Eckhard Meinrenken, Equivariant cohomology and the Cartan model, in: Encyclopedia of Mathematical Physics, Pages 242-250 Academic Press 2006 (pdf, doi:10.1016/B0-12-512666-2/00344-8)

On geometric quantization by push-forward and Guillemin-Sternberg geometric quantization conjecture:

• Eckhard Meinrenken, Symplectic surgery and the $Spin^c$-Dirac operator, Adv. Math. 134 (1998), 240-277.

• Hans Duistermaat, Victor Guillemin, Eckhard Meinrenken, Siye Wu, Symplectic reduction and Riemann-Roch for circle actions, Mathematical Research Letters 2, 259–266 (1995) (pdf)

On moment maps:

• Anton Alekseev, Anton Malkin, Eckhard Meinrenken, Lie group valued moment maps, J. Differential Geom. Volume 48, Number 3 (1998), 445-495. euclid, MR1638045

• Eckhard Meinrenken, Lectures on group-valued moment maps and Verlinde formulas, 35 pages, January 2012, pdf

On Lie algebroids:

• Eckhard Meinrenken, Lie Algebroids, in Encyclopedia of Mathematical Physics 2nd ed, Elsevier (2024) [arXiv:2401.03034]

Related entries

• deformation quantization of the 2-sphere

category: people