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Meinrenken, Eckhard

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Author ID: meinrenken.eckhard Recent zbMATH articles by "Meinrenken, Eckhard"
Published as: Meinrenken, Eckhard; Meinrenken, E.
Documents Indexed: 58 Publications since 1992, including 1 Book

Publications by Year

Citations contained in zbMATH Open

49 Publications have been cited 825 times in 571 Documents Cited by Year
Toeplitz quantization of Kähler manifolds and \(gl(N)\), \(N\to \infty\) limits. Zbl 0813.58026
Bordemann, Martin; Meinrenken, Eckhard; Schlichenmaier, Martin
116
1994
Lie group valued moment maps. Zbl 0948.53045
Alekseev, Anton; Malkin, Anton; Meinrenken, Eckhard
101
1998
Singular reduction and quantization. Zbl 0928.37013
Meinrenken, Eckhard; Sjamaar, Reyer
54
1999
Symplectic surgery and the Spin\(^c\)-Dirac operator. Zbl 0929.53045
Meinrenken, Eckhard
47
1998
Quasi-Poisson manifolds. Zbl 1006.53072
Alekseev, A.; Kosmann-Schwarzbach, Y.; Meinrenken, E.
47
2002
The non-commutative Weil algebra. Zbl 0945.57017
Alekseev, A.; Meinrenken, E.
39
2000
Non-Abelian convexity by symplectic cuts. Zbl 0913.58023
Lerman, Eugene; Meinrenken, Eckhard; Tolman, Sue; Woodward, Chris
39
1998
The basic gerbe over a compact simple Lie group. Zbl 1061.53034
Meinrenken, Eckhard
31
2003
On Riemann-Roch formulas for multiplicities. Zbl 0851.53020
Meinrenken, Eckhard
29
1996
Clifford algebras and Lie theory. Zbl 1267.15021
Meinrenken, Eckhard
26
2013
Hamiltonian loop group actions and Verlinde factorization. Zbl 0949.37031
Meinrenken, E.; Woodward, C.
25
1998
Courant algebroids and Poisson geometry. Zbl 1169.53061
Li-Bland, David; Meinrenken, Eckhard
20
2009
Semiclassical principal symbols and Gutzwiller’s trace formula. Zbl 0794.58046
Meinrenken, Eckhard
19
1992
Lie theory and the Chern-Weil homomorphism. Zbl 1105.17015
Alekseev, Anton; Meinrenken, Eckhard
19
2005
Ginzburg-Weinstein via Gelfand-Zeitlin. Zbl 1119.53053
Alekseev, A.; Meinrenken, E.
13
2007
Pure spinors on Lie groups. Zbl 1251.53052
Alekseev, A.; Bursztyn, H.; Meinrenken, E.
12
2009
Trace formulas and the Conley-Zehnder index. Zbl 0791.53040
Meinrenken, Eckhard
11
1994
The Verlinde formulas as fixed point formulas. Zbl 1033.53074
Alekseev, A.; Meinrenken, E.; Woodward, C.
11
2001
Twisted K-homology and group-valued moment maps. Zbl 1260.53143
Meinrenken, E.
11
2012
Witten’s formulas for intersection pairings on moduli spaces of flat \(G\)-bundles. Zbl 1085.53076
Meinrenken, E.
10
2005
On the Kashiwara-Vergne conjecture. Zbl 1096.22007
Alekseev, A.; Meinrenken, E.
10
2006
Moduli spaces of flat connections on 2-manifolds, cobordism, and Witten’s volume formulas. Zbl 1037.53058
Meinrenken, E.; Woodward, C.
9
1999
Symplectic reduction and Riemann-Roch for circle actions. Zbl 0839.58026
Duistermaat, Hans; Guillemin, Victor; Meinrenken, Eckhard; Wu, Siye
9
1995
Dirac Lie groups. Zbl 1320.53102
Li-Bland, David; Meinrenken, Eckhard
9
2014
On the quantization of conjugacy classes. Zbl 1188.22011
Meinrenken, Eckhard
9
2009
Duistermaat-Heckman measures and moduli spaces of flat bundles over surfaces. Zbl 1008.53065
Alekseev, A.; Meinrenken, E.; Woodward, C.
8
2002
Linearization of Poisson actions and singular values of matrix products. Zbl 1012.53064
Alekseev, Anton; Meinrenken, Eckhard; Woodward, Chris
8
2001
Equivariant cohomology and the Maurer-Cartan equation. Zbl 1085.57022
Alekseev, A.; Meinrenken, E.
7
2005
Clifford algebras and the classical dynamical Yang-Baxter equation. Zbl 1139.17308
Alekseev, A.; Meinrenken, E.
7
2003
Poisson geometry and the Kashiwara-Vergne conjecture. Zbl 1057.17004
Alekseev, Anton; Meinrenken, Eckhard
7
2002
Group-valued equivariant localization. Zbl 0959.58031
Alekseev, A.; Meinrenken, E.; Woodward, C.
6
2000
Linearization of Poisson Lie group structures. Zbl 1357.53096
Alekseev, Anton; Meinrenken, Eckhard
6
2016
Splitting theorems for Poisson and related structures. Zbl 1425.53103
Bursztyn, Henrique; Lima, Hudson; Meinrenken, Eckhard
6
2019
Dirac structures and Dixmier-Douady bundles. Zbl 1244.46038
Alekseev, A.; Meinrenken, E.
5
2012
Canonical bundles for Hamiltonian loop group manifolds. Zbl 1062.53070
Meinrenken, E.; Woodward, C.
4
2001
Cobordism for Hamiltonian loop group actions and flat connections on the punctured two-sphere. Zbl 0951.53051
Meinrenken, E.; Woodward, E.
4
1999
On the Van Est homomorphism for Lie groupoids. Zbl 1337.55017
Li-Bland, David; Meinrenken, Eckhard
4
2015
Lectures on group-valued moment maps and Verlinde formulas. Zbl 1365.53080
Meinrenken, Eckhard
4
2012
The Atiyah algebroid of the path fibration over a Lie group. Zbl 1181.22019
Alekseev, Anton; Meinrenken, Eckhard
4
2009
Dirac actions and Lu’s Lie algebroid. Zbl 1383.22001
Meinrenken, E.
3
2017
Poisson geometry from a Dirac perspective. Zbl 1387.53107
Meinrenken, Eckhard
3
2018
Spinor modules for Hamiltonian loop group spaces. Zbl 1456.58005
Loizides, Yiannis; Meinrenken, Eckhard; Song, Yanli
3
2020
Clifford algebras and the Duflo isomorphism. Zbl 1020.17007
Meinrenken, E.
2
2002
The cubic Dirac operator for infinite-dimensonal Lie algebras. Zbl 1248.17016
Meinrenken, Eckhard
2
2011
Convexity for twisted conjugation. Zbl 1393.22005
Meinrenken, E.
2
2017
Quantization of \(q\)-Hamiltonian \(\mathrm{SU}(2)\)-spaces. Zbl 1276.53088
Meinrenken, Eckhard
1
2011
Tilings defined by affine Weyl groups. Zbl 1175.20030
Meinrenken, Eckhard
1
2009
Dirac geometry of the holonomy fibration. Zbl 1375.53099
Cabrera, Alejandro; Gualtieri, M.; Meinrenken, E.
1
2017
Deformation spaces and normal forms around transversals. Zbl 1434.53029
Bischoff, Francis; Bursztyn, Henrique; Lima, Hudson; Meinrenken, Eckhard
1
2020
Spinor modules for Hamiltonian loop group spaces. Zbl 1456.58005
Loizides, Yiannis; Meinrenken, Eckhard; Song, Yanli
3
2020
Deformation spaces and normal forms around transversals. Zbl 1434.53029
Bischoff, Francis; Bursztyn, Henrique; Lima, Hudson; Meinrenken, Eckhard
1
2020
Splitting theorems for Poisson and related structures. Zbl 1425.53103
Bursztyn, Henrique; Lima, Hudson; Meinrenken, Eckhard
6
2019
Poisson geometry from a Dirac perspective. Zbl 1387.53107
Meinrenken, Eckhard
3
2018
Dirac actions and Lu’s Lie algebroid. Zbl 1383.22001
Meinrenken, E.
3
2017
Convexity for twisted conjugation. Zbl 1393.22005
Meinrenken, E.
2
2017
Dirac geometry of the holonomy fibration. Zbl 1375.53099
Cabrera, Alejandro; Gualtieri, M.; Meinrenken, E.
1
2017
Linearization of Poisson Lie group structures. Zbl 1357.53096
Alekseev, Anton; Meinrenken, Eckhard
6
2016
On the Van Est homomorphism for Lie groupoids. Zbl 1337.55017
Li-Bland, David; Meinrenken, Eckhard
4
2015
Dirac Lie groups. Zbl 1320.53102
Li-Bland, David; Meinrenken, Eckhard
9
2014
Clifford algebras and Lie theory. Zbl 1267.15021
Meinrenken, Eckhard
26
2013
Twisted K-homology and group-valued moment maps. Zbl 1260.53143
Meinrenken, E.
11
2012
Dirac structures and Dixmier-Douady bundles. Zbl 1244.46038
Alekseev, A.; Meinrenken, E.
5
2012
Lectures on group-valued moment maps and Verlinde formulas. Zbl 1365.53080
Meinrenken, Eckhard
4
2012
The cubic Dirac operator for infinite-dimensonal Lie algebras. Zbl 1248.17016
Meinrenken, Eckhard
2
2011
Quantization of \(q\)-Hamiltonian \(\mathrm{SU}(2)\)-spaces. Zbl 1276.53088
Meinrenken, Eckhard
1
2011
Courant algebroids and Poisson geometry. Zbl 1169.53061
Li-Bland, David; Meinrenken, Eckhard
20
2009
Pure spinors on Lie groups. Zbl 1251.53052
Alekseev, A.; Bursztyn, H.; Meinrenken, E.
12
2009
On the quantization of conjugacy classes. Zbl 1188.22011
Meinrenken, Eckhard
9
2009
The Atiyah algebroid of the path fibration over a Lie group. Zbl 1181.22019
Alekseev, Anton; Meinrenken, Eckhard
4
2009
Tilings defined by affine Weyl groups. Zbl 1175.20030
Meinrenken, Eckhard
1
2009
Ginzburg-Weinstein via Gelfand-Zeitlin. Zbl 1119.53053
Alekseev, A.; Meinrenken, E.
13
2007
On the Kashiwara-Vergne conjecture. Zbl 1096.22007
Alekseev, A.; Meinrenken, E.
10
2006
Lie theory and the Chern-Weil homomorphism. Zbl 1105.17015
Alekseev, Anton; Meinrenken, Eckhard
19
2005
Witten’s formulas for intersection pairings on moduli spaces of flat \(G\)-bundles. Zbl 1085.53076
Meinrenken, E.
10
2005
Equivariant cohomology and the Maurer-Cartan equation. Zbl 1085.57022
Alekseev, A.; Meinrenken, E.
7
2005
The basic gerbe over a compact simple Lie group. Zbl 1061.53034
Meinrenken, Eckhard
31
2003
Clifford algebras and the classical dynamical Yang-Baxter equation. Zbl 1139.17308
Alekseev, A.; Meinrenken, E.
7
2003
Quasi-Poisson manifolds. Zbl 1006.53072
Alekseev, A.; Kosmann-Schwarzbach, Y.; Meinrenken, E.
47
2002
Duistermaat-Heckman measures and moduli spaces of flat bundles over surfaces. Zbl 1008.53065
Alekseev, A.; Meinrenken, E.; Woodward, C.
8
2002
Poisson geometry and the Kashiwara-Vergne conjecture. Zbl 1057.17004
Alekseev, Anton; Meinrenken, Eckhard
7
2002
Clifford algebras and the Duflo isomorphism. Zbl 1020.17007
Meinrenken, E.
2
2002
The Verlinde formulas as fixed point formulas. Zbl 1033.53074
Alekseev, A.; Meinrenken, E.; Woodward, C.
11
2001
Linearization of Poisson actions and singular values of matrix products. Zbl 1012.53064
Alekseev, Anton; Meinrenken, Eckhard; Woodward, Chris
8
2001
Canonical bundles for Hamiltonian loop group manifolds. Zbl 1062.53070
Meinrenken, E.; Woodward, C.
4
2001
The non-commutative Weil algebra. Zbl 0945.57017
Alekseev, A.; Meinrenken, E.
39
2000
Group-valued equivariant localization. Zbl 0959.58031
Alekseev, A.; Meinrenken, E.; Woodward, C.
6
2000
Singular reduction and quantization. Zbl 0928.37013
Meinrenken, Eckhard; Sjamaar, Reyer
54
1999
Moduli spaces of flat connections on 2-manifolds, cobordism, and Witten’s volume formulas. Zbl 1037.53058
Meinrenken, E.; Woodward, C.
9
1999
Cobordism for Hamiltonian loop group actions and flat connections on the punctured two-sphere. Zbl 0951.53051
Meinrenken, E.; Woodward, E.
4
1999
Lie group valued moment maps. Zbl 0948.53045
Alekseev, Anton; Malkin, Anton; Meinrenken, Eckhard
101
1998
Symplectic surgery and the Spin\(^c\)-Dirac operator. Zbl 0929.53045
Meinrenken, Eckhard
47
1998
Non-Abelian convexity by symplectic cuts. Zbl 0913.58023
Lerman, Eugene; Meinrenken, Eckhard; Tolman, Sue; Woodward, Chris
39
1998
Hamiltonian loop group actions and Verlinde factorization. Zbl 0949.37031
Meinrenken, E.; Woodward, C.
25
1998
On Riemann-Roch formulas for multiplicities. Zbl 0851.53020
Meinrenken, Eckhard
29
1996
Symplectic reduction and Riemann-Roch for circle actions. Zbl 0839.58026
Duistermaat, Hans; Guillemin, Victor; Meinrenken, Eckhard; Wu, Siye
9
1995
Toeplitz quantization of Kähler manifolds and \(gl(N)\), \(N\to \infty\) limits. Zbl 0813.58026
Bordemann, Martin; Meinrenken, Eckhard; Schlichenmaier, Martin
116
1994
Trace formulas and the Conley-Zehnder index. Zbl 0791.53040
Meinrenken, Eckhard
11
1994
Semiclassical principal symbols and Gutzwiller’s trace formula. Zbl 0794.58046
Meinrenken, Eckhard
19
1992
all top 5

Cited by 596 Authors

16 Meinrenken, Eckhard
15 Alekseev, Anton Yu.
11 Vergne, Michèle
10 Paradan, Paul-Emile
9 Sjamaar, Reyer
9 Waldorf, Konrad
8 Engliš, Miroslav
8 Hochs, Peter
8 Ma, Xiaonan
8 Polterovich, Leonid Viktorovich
7 Charles, Laurent
7 Mathai, Varghese
7 Woodward, Christopher T.
6 Andersen, Jørgen Ellegaard
6 Barron, Tatyana
6 Boalch, Philip P.
6 Karshon, Yael
6 Laurent-Gengoux, Camille
6 Ortega, Juan-Pablo
6 Song, Yanli
6 Torossian, Charles
6 Uribe, Alejandro
6 Xu, Ping
5 Bursztyn, Henrique
5 Gawȩdzki, Krzysztof
5 Ioos, Louis
5 Loizides, Yiannis
5 Marinescu, George
5 Miranda, Eva
5 Szenes, András
5 Vũ Ngọc, San
5 Xu, Xiaomeng
4 Ali, Syed Twareque
4 Cabrera, Alejandro
4 Fairon, Maxime
4 Fehér, László Gy.
4 Jeffrey, Lisa C.
4 Klimčík, Ctirad
4 Krepski, Derek
4 Landweber, Gregory D.
4 Pandžić, Pavle
4 Ratiu, Tudor Stefan
4 Safronov, Pavel
4 Schlichenmaier, Martin
4 Schweigert, Christoph
4 Ševera, Pavol
4 Sheng, Yunhe
4 Teleman, Constantin
4 Waldmann, Stefan
4 Zhang, Weiping
3 Arnlind, Joakim
3 Bismut, Jean-Michel
3 Borthwick, David
3 Calaque, Damien
3 Fok, Chi-Kwong
3 Frejlich, Pedro
3 Hall, Brian C.
3 Hoppe, Jens
3 Kordyukov, Yuri A.
3 Kumar, Shrawan
3 Landsman, Nicolaas P.
3 Lechtenfeld, Olaf
3 Mǎrcuţ, Ioan
3 Mouquin, Victor
3 Mudrov, Andrey I.
3 Nguyen Tien Zung
3 Paoletti, Roberto
3 Paul, Thierry
3 Pelayo, Alvaro
3 Popov, Alexander D.
3 Popov, Georgi St.
3 Strobl, Thomas
3 Suszek, Rafał R.
3 Takakura, Tatsuru
3 Tolman, Susan
3 Tu, Jean-Louis
3 Valach, Fridrich
3 van de Ven, Christiaan J. F.
3 Watamura, Satoshi
3 Weitsman, Jonathan
3 Xu, Hao
2 Abreu, Miguel
2 Bar-Natan, Dror
2 Bauer, Wolfram
2 Blacker, Casey
2 Bordemann, Martin
2 Carow-Watamura, Ursula
2 Cattaneo, Alberto Sergio
2 Chalykh, Oleg A.
2 Chatzistavrakidis, Athanasios
2 Cho, Yunhyung
2 Coburn, Lewis A.
2 Colin de Verdière, Yves
2 Crainic, Marius
2 D’Andrea, Francesco
2 de Gosson, Maurice Alexis
2 Della Vedova, Alberto
2 Dolgushev, Vasily A.
2 Donin, Joseph
2 Douglas, Christopher L.
...and 496 more Authors
all top 5

Cited in 127 Serials

54 Journal of Geometry and Physics
45 Communications in Mathematical Physics
41 Advances in Mathematics
33 Letters in Mathematical Physics
27 Journal of Mathematical Physics
21 Transactions of the American Mathematical Society
16 Duke Mathematical Journal
14 Comptes Rendus. Mathématique. Académie des Sciences, Paris
11 Annales de l’Institut Fourier
11 Journal of Functional Analysis
10 Reviews in Mathematical Physics
10 Journal für die Reine und Angewandte Mathematik
9 Indagationes Mathematicae. New Series
9 Transformation Groups
8 Nuclear Physics. B
8 Journal of Algebra
7 Mathematische Zeitschrift
7 Differential Geometry and its Applications
6 Inventiones Mathematicae
6 Mathematische Annalen
6 The Journal of Geometric Analysis
6 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
5 Proceedings of the American Mathematical Society
5 International Journal of Mathematics
5 Communications in Partial Differential Equations
5 Journal of High Energy Physics
5 Annales Henri Poincaré
5 Algebraic & Geometric Topology
5 Journal of Noncommutative Geometry
4 International Journal of Modern Physics A
4 Reports on Mathematical Physics
4 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
4 Annals of Global Analysis and Geometry
4 Journal of Lie Theory
4 Selecta Mathematica. New Series
4 Documenta Mathematica
4 Geometry & Topology
4 Annals of Mathematics. Second Series
4 Journal of the European Mathematical Society (JEMS)
3 Physics Letters. B
3 Journal of Pure and Applied Algebra
3 Pacific Journal of Mathematics
3 Representation Theory
3 Acta Mathematica Sinica. English Series
3 Complex Manifolds
2 Israel Journal of Mathematics
2 Journal of Mathematical Analysis and Applications
2 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg
2 Journal of the Mathematical Society of Japan
2 Memoirs of the American Mathematical Society
2 Journal of the American Mathematical Society
2 Journal de Mathématiques Pures et Appliquées. Neuvième Série
2 Bulletin of the American Mathematical Society. New Series
2 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
2 Journal of Algebraic Combinatorics
2 Journal of Mathematical Sciences (New York)
2 Theory and Applications of Categories
2 Algebras and Representation Theory
2 Communications in Contemporary Mathematics
2 Foundations of Computational Mathematics
2 Bulletin of the Brazilian Mathematical Society. New Series
2 International Journal of Geometric Methods in Modern Physics
2 Japanese Journal of Mathematics. 3rd Series
2 Research in the Mathematical Sciences
2 Journal de l’École Polytechnique – Mathématiques
2 Philosophical Transactions of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
2 Algebraic Combinatorics
1 Journal d’Analyse Mathématique
1 Journal of Fluid Mechanics
1 Linear and Multilinear Algebra
1 Physics Reports
1 Reviews of Modern Physics
1 Rocky Mountain Journal of Mathematics
1 Russian Mathematical Surveys
1 Mathematics of Computation
1 Fortschritte der Physik
1 Acta Mathematica
1 Archiv der Mathematik
1 Compositio Mathematica
1 Geometriae Dedicata
1 Glasgow Mathematical Journal
1 Publications Mathématiques
1 Integral Equations and Operator Theory
1 Manuscripta Mathematica
1 Mathematische Nachrichten
1 Proceedings of the London Mathematical Society. Third Series
1 Tokyo Journal of Mathematics
1 Advances in Applied Mathematics
1 Chinese Annals of Mathematics. Series B
1 Journal of Symbolic Computation
1 Asymptotic Analysis
1 Aequationes Mathematicae
1 Annals of Physics
1 L’Enseignement Mathématique. 2e Série
1 Proceedings of the National Academy of Sciences of the United States of America
1 Expositiones Mathematicae
1 Annales de l’Institut Henri Poincaré. Physique Théorique
1 Calculus of Variations and Partial Differential Equations
1 St. Petersburg Mathematical Journal
1 Computational and Applied Mathematics
...and 27 more Serials
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Cited in 47 Fields

335 Differential geometry (53-XX)
165 Quantum theory (81-XX)
103 Global analysis, analysis on manifolds (58-XX)
98 Nonassociative rings and algebras (17-XX)
85 Topological groups, Lie groups (22-XX)
64 Manifolds and cell complexes (57-XX)
55 Algebraic geometry (14-XX)
42 Dynamical systems and ergodic theory (37-XX)
41 Several complex variables and analytic spaces (32-XX)
41 Operator theory (47-XX)
34 Associative rings and algebras (16-XX)
34 Algebraic topology (55-XX)
28 \(K\)-theory (19-XX)
28 Functional analysis (46-XX)
26 Group theory and generalizations (20-XX)
22 Mechanics of particles and systems (70-XX)
21 Category theory; homological algebra (18-XX)
20 Partial differential equations (35-XX)
17 Relativity and gravitational theory (83-XX)
16 Combinatorics (05-XX)
13 Linear and multilinear algebra; matrix theory (15-XX)
10 Ordinary differential equations (34-XX)
9 Convex and discrete geometry (52-XX)
6 Abstract harmonic analysis (43-XX)
6 Statistical mechanics, structure of matter (82-XX)
5 Number theory (11-XX)
3 Commutative algebra (13-XX)
3 Special functions (33-XX)
3 Numerical analysis (65-XX)
2 General algebraic systems (08-XX)
2 Functions of a complex variable (30-XX)
2 Potential theory (31-XX)
2 Approximations and expansions (41-XX)
2 Geometry (51-XX)
2 Computer science (68-XX)
1 History and biography (01-XX)
1 Field theory and polynomials (12-XX)
1 Measure and integration (28-XX)
1 Difference and functional equations (39-XX)
1 Integral transforms, operational calculus (44-XX)
1 Integral equations (45-XX)
1 General topology (54-XX)
1 Probability theory and stochastic processes (60-XX)
1 Fluid mechanics (76-XX)
1 Biology and other natural sciences (92-XX)
1 Systems theory; control (93-XX)
1 Information and communication theory, circuits (94-XX)

Citations by Year