Eckhard Meinrenken

Eckhard Meinrenken's AcademicInfluence.com Rankings

Eckhard Meinrenken

Mathematics

#2592

World Rank

#3974

Historical Rank

Differential Topology

#12

World Rank

#12

Historical Rank

Differential Geometry

#42

World Rank

#49

Historical Rank

Measure Theory

#3180

World Rank

#3766

Historical Rank

mathematics Degrees

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Mathematics

Why Is Eckhard Meinrenken Influential?

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According to Wikipedia, Eckhard Meinrenken is a German-Canadian mathematician working in differential geometry and mathematical physics. He is a professor at University of Toronto. Education and career Meinrenken studied Physics at Albert-Ludwigs-Universität Freiburg, where he obtained a Diplom in 1990 and a PhD in 1994, with a thesis entitled Vielfachheitsformeln für die Quantisierung von Phasenräumen , under the supervision of .

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Eckhard Meinrenken's Published Works

Number of citations in a given year to any of this author's works

Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author

Published Works

Lie group valued moment maps (1997) (407)
LIE GROUPS AND LIE ALGEBRAS (2021) (394)
Toeplitz quantization of Kähler manifolds anggl(N), N→∞ limits (1993) (351)
Toeplitz Quantization of Kähler Manifolds and gl(N), N → ∞ (1993) (204)
Symplectic Surgery and the Spinc–Dirac Operator (1995) (188)
SINGULAR REDUCTION AND QUANTIZATION (1997) (174)
Quasi-Poisson Manifolds (2000) (171)
Non-abelian convexity by symplectic cuts (1996) (151)
The non-commutative Weil algebra (1999) (129)
On Riemann-Roch Formulas for Multiplicities (1994) (105)
The basic gerbe over a compact simple Lie group (2002) (99)
Hamiltonian loop group actions and Verlinde factorization (1998) (97)
Clifford Algebras and Lie Theory (2013) (72)
Pure Spinors on Lie groups (2007) (64)
Lie theory and the Chern–Weil homomorphism (2003) (59)
Symplectic reduction and Riemann-Roch for circle actions (1995) (58)
Courant Algebroids and Poisson Geometry (2008) (56)
Semiclassical principal symbols and Gutzwiller's trace formula (1992) (53)
Duistermaat—Heckman measures and moduli spaces of flat bundles over surfaces (2002) (53)
Duistermaat-Heckman distributions for group valued moment maps (1999) (48)
Twisted K-Homology and Group-Valued Moment Maps (2010) (44)
Splitting theorems for Poisson and related structures (2016) (40)
Equivariant Cohomology and the Cartan Model (2006) (38)
Linearization of Poisson actions and singular values of matrix products (2000) (37)
ON THE QUANTIZATION OF CONJUGACY CLASSES (2007) (33)
On the Kashiwara–Vergne conjecture (2005) (32)
The Verlinde formula as fixed point formulas (2001) (30)
Canonical bundles for Hamiltonian loop group manifolds (2001) (29)
Witten's formulas for intersection pairings on moduli spaces of flat G-bundles (2003) (29)
Group-valued equivariant localization (1999) (28)
Trace formulas and the Conley-Zehnder index (1994) (25)
Dirac Lie groups (2011) (23)
Poisson geometry and the Kashiwara-Vergne conjecture (2002) (22)
Clifford algebras and the classical dynamical Yang-Baxter equation (2002) (21)
Dirac structures and Dixmier-Douady bundles (2009) (20)
Cobordism for Hamiltonian loop group actions and flat connections on the punctured two-sphere (1999) (20)
Linearization of Poisson Lie group structures (2013) (20)
On the Van Est homomorphism for Lie groupoids (2014) (19)
MODULI SPACES OF FLAT CONNECTIONS ON 2-MANIFOLDS, COBORDISM, AND WITTEN'S VOLUME FORMULAS (1997) (19)
Poisson geometry from a Dirac perspective (2016) (16)
Equivariant cohomology and the Maurer-Cartan equation (2004) (15)
Group actions on manifolds (2003) (15)
A symplectic proof of Verlinde factorization (1996) (14)
LECTURES ON GROUP-VALUED MOMENT MAPS AND VERLINDE FORMULAS (2012) (13)
Convexity for twisted conjugation (2015) (13)
Formulas of Verlinde type for non-simply connected groups (2000) (12)
Spinor modules for Hamiltonian loop group spaces (2017) (11)
The Atiyah Algebroid of the Path Fibration over a Lie Group (2008) (8)
Deformation spaces and normal forms around transversals (2018) (8)
Euler-like vector fields, normal forms, and isotropic embeddings (2020) (8)
Quantization of q-Hamiltonian SU(2)-spaces (2008) (7)
FUSION OF HAMILTONIAN LOOP GROUP MANIFOLDS AND COBORDISM (1997) (7)
Lectures on pure spinors and moment maps (2006) (7)
Van Est differentiation and integration (2019) (6)
Dirac Geometry of the Holonomy Fibration (2015) (6)
The Cubic Dirac Operator for Infinite-Dimensonal Lie Algebras (2011) (6)
The Weil Algebra of a Double Lie Algebroid (2019) (5)
Tilings defined by affine Weyl groups (2008) (4)
hep-th/9309134 TOEPLITZ QUANTIZATION OF KÄHLER MANIFOLDS AND gl(N), N → ∞ LIMITS. (2008) (4)
On the Verlinde formulas for SO(3)-bundles (2011) (4)
DIRAC ACTIONS AND LU’S LIE ALGEBROID (2014) (4)
Total space quantization of Kahler manifolds (1993) (4)
Clifford Algebras and the Duflo Isomorphism (2003) (4)
Verlinde Formulas for Nonsimply Connected Groups (2017) (3)
Correction: The Verlinde formula as fixed point formulas (2001) (3)
A fixed point formula for loop group actions (2000) (3)
The decomposition formula for Verlinde Sums (2018) (2)
LIE GROUPOIDS AND LIE ALGEBROIDS LECTURE NOTES, FALL 2017 (2017) (2)
REPORT ON THE BOOK (2013) (1)
Coherent states and classical limits (1994) (1)
Singular Lie filtrations and weightings (2022) (1)
On the coadjoint Virasoro action (2022) (1)
Van Est differentiation and integration (2019) (0)
Symmetric bilinear forms (2013) (0)
Dirac Geometry of the Holonomy Fibration (2017) (0)
Clifford Algebras and the Duflo (2003) (0)
Maslov indices for periodic orbits Contribution presented at the XIX ICGTMP Salamanca (1992) (0)
Differentiable Manifolds (2011) (0)
The spin representation (2013) (0)
Non-abelian convexity by symplectic cuts dg-ga / 9603015 (2008) (0)
DIRAC ACTIONS AND LU’S LIE ALGEBROID (2017) (0)
Riemannian Geometry (2020) (0)
VERLINDE SUMS AND [ Q, R ] = 0 (2022) (0)
Linearization of Poisson A tionsand Singular Values of Matrix Produ tsA (2010) (0)
Quantum Weil algebras (2013) (0)
On the integration of transitive Lie algebroids (2020) (0)
Differential geometry of weightings (2020) (0)
Covariant and contravariant spinors (2013) (0)
Preprint Reference Dirac structures and Dixmier-Douady bundles (2017) (0)
Quotients of double vector bundles and multigraded bundles (2021) (0)
Manifolds, Vector Fields, and Differential Forms (2023) (0)
The Hopf–Koszul–Samelson Theorem (2013) (0)
as a geometric Dirac operator (2013) (0)
Maslov indices for periodic orbits (1992) (0)
Poisson Geometry and Applications (2007) (0)
Applications to reductive Lie algebras (2013) (0)
Poisson geometry from a Dirac perspective (2017) (0)
The Clifford algebra of a reductive Lie algebra (2013) (0)

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