Research graph
References from Momentum maps and reduction in algebraic geometry. Local targets link to admitted publications; unresolved targets remain external evidence.
Unresolved reference
1978 · External reference
A universal reduction procedure for Hamiltonian group actions
1991 · External reference
Geometric and algebraic reduction for singular momentum maps
10.1016/0001-8708(90)90058-u · 1990 · External reference
Symmetry and bifurcations of moment mappings
10.1007/bf02046759 · 1981 · External reference
Unresolved reference
1975 · External reference
Convexity and commuting Hamiltonians
10.1112/blms/14.1.1 · 1982 · External reference
Angular momentum, convex polyhedra and algebraic geometry
1983 · External reference
The moment map in symplectic geometry
1984 · External reference
The Yang-Mills equations over Riemann surfaces
10.1098/rsta.1983.0017 · 1982 · External reference
The moment map and equivariant cohomology
10.1016/0040-9383(84)90021-1 · 1984 · External reference
Construction of instantons
10.1016/0375-9601(78)90141-x · 1978 · External reference
Unresolved reference
1988 · External reference
Convexity and loop groups
1983 · External reference
The index of elliptic operators II
10.2307/1970716 · 1968 · External reference
The Topology of Torus Actions on Symplectic Manifolds
10.1007/978-3-0348-7221-8 · 1991 · External reference
Geometric quantization and Chern-Simons gauge theory
10.4310/jdg/1214446565 · 1991 · External reference
Unresolved reference
1997 · External reference
Unresolved reference
External reference
Variétés Kähleriennes dont la premiere classe de Chern est nulle
10.4310/jdg/1214438181 · 1983 · External reference
Heat Kernels and Dirac Operators
1992 · External reference
Classes caractéristiques équivariantes. Formules de localisation en cohomologie équivariante
1982 · External reference
Zéros d'un champ de vecteurs et classes caractéristiques équivariantes
10.1215/s0012-7094-83-05024-x · 1983 · External reference
Moduli of rank 2 vector bundles, theta divisors, and the geometry of curves in projective space
10.4310/jdg/1214448083 · 1992 · External reference
Hilbert polynomials of moduli spaces of rank 2 vector bundles II
10.1016/0040-9383(93)90011-j · 1993 · External reference
The Euler-Poincaré equations and double bracket dissipation
10.1007/bf02101622 · 1996 · External reference
Sur l'image de l'application moment
1987 · External reference
Cohomologie equivariante des points semi-stables
1991 · External reference
Equivariant intersection cohomology of semi-stable points
10.1353/ajm.1996.0022 · 1996 · External reference
Action d'un tore dans une variété projective
1990 · External reference
Representations of Compact Lie Groups
10.1007/978-3-662-12918-0 · 1985 · External reference
Homogeneous vector bundles
10.2307/1969996 · 1957 · External reference
Propriétés de convexité de l'application moment d'apres Atiyah, Guillemin-Sternberg et Kirwan
1985 · External reference
Unresolved reference
1997 · External reference
Geometrie du moment
1988 · External reference
Hyperkähler metrics associated to compact Lie groups
1996 · External reference
The structure of quaternionic quotients
1997 · External reference
The geometry of toric varieties
10.1070/rm1978v033n02abeh002305 · 1978 · External reference
The topology of the space of stable bundles on a compact Riemann surface
10.4310/jdg/1214453186 · 1992 · External reference
Hamiltoniens périodiques et images convexes de l'application moment
10.24033/bsmf.2100 · 1988 · External reference
Variation of geometric invariant theory quotients
1994 · External reference
A new proof of a theorem of Narasimhan and Seshadri
10.4310/jdg/1214437664 · 1983 · External reference
Instantons and geometric invariant theory
10.1007/bf01212289 · 1984 · External reference
Gluing techniques in the cohomology of moduli spaces
1992 · External reference
Unresolved reference
1990 · External reference
Fibrés vectoriels sur les courbes algébriques
1982 · External reference
On the variation in the cohomology of the symplectic form of the reduced phase space
10.1007/bf01399506 · 1982 · External reference
On the variation in the cohomology of the symplectic form of the reduced phase space
10.1007/bf01389132 · 1983 · External reference
Equivariant cohomology and stationary phase
1994 · External reference
Unresolved reference
1996 · External reference
Symplectic reduction and Riemann-Roch for circle actions
10.4310/mrl.1995.v2.n3.a3 · 1995 · External reference
Orbites coadjointes et cohomologie équivariante
1990 · External reference
Quantization and bosonic BRST theory
10.1016/0003-4916(91)90218-w · 1991 · External reference
Non-abelian reduction in deformation quantization
1997 · External reference
A convexity theorem for Poisson actions of compact Lie groups
1996 · External reference
Quaternionic reduction and quaternionic orbifolds
10.1007/bf01457009 · 1988 · External reference
Geometric invariant theory and applications to moduli problems
1983 · External reference
Cobordism theory and localization formulas for Hamiltonian group actions
10.1155/s1073792896000165 · 1996 · External reference
Constraints, reduction and quantization
10.1063/1.527026 · 1986 · External reference
Unresolved reference
1986 · External reference
10.1006/aima.1997.1686
10.1006/aima.1997.1686 · External reference
Unresolved reference
1994 · External reference
Reduced phase spaces and Riemann-Roch
1994 · External reference
The Jeffrey-Kirwan localization theorem and residue operations in equivariant cohomology
1996 · External reference
On the Kostant multiplicity formula
1988 · External reference
Unresolved reference
1994 · External reference
Geometric quantisation and multiplicities of group representations
10.1007/bf01398934 · 1982 · External reference
Convexity properties of the moment mapping, I and II
10.1007/bf01398933 · 1982 · External reference
Convexity properties of the moment mapping, I and II
10.1007/bf01388837 · 1984 · External reference
A normal form for the moment map
1984 · External reference
Unresolved reference
1984 · External reference
Birational equivalence in the symplectic category
10.1007/bf01388888 · 1989 · External reference
On the cohomology groups of moduli spaces of vector bundles over curves
10.1007/bf01357141 · 1975 · External reference
Metrics on moduli spaces
1986 · External reference
Flat connections and geometric quantization
10.1007/bf02161419 · 1990 · External reference
Hyperkähler metrics and supersymmetry
10.1007/bf01214418 · 1987 · External reference
Unresolved reference
1965 · External reference
The geometry and topology of quotient varieties of torus actions
10.1215/s0012-7094-92-06806-2 · 1992 · External reference
Extended moduli spaces of flat connections on Riemann surfaces
10.1007/bf01459756 · 1994 · External reference
Symplectic forms on moduli spaces of flat connections on 2-manifolds
1993 · External reference
Group cohomology construction of the cohomology of moduli spaces of flat connections on 2-manifolds
10.1215/s0012-7094-95-07712-6 · 1995 · External reference
Quantum field theory, equivariant cohomology, symplectic geometry and moduli spaces of vector bundles on Riemann surfaces
1997 · External reference
Localization for nonabelian group actions
10.1016/0040-9383(94)00028-j · 1995 · External reference
10.2307/120993
10.2307/120993 · External reference
Localization and the quantization conjecture
10.1016/s0040-9383(96)00015-8 · 1997 · External reference
On geometric invariant theory for infinite-dimensional groups
1987 · External reference
Cohomology rings of symplectic quotients
1995 · External reference
Hamiltonian torus actions
1997 · External reference
The moment map and line bundles over presymplectic manifolds
10.4310/jdg/1214454478 · 1993 · External reference
Hamiltonian group actions and dynamical systems of Calogero type
10.1002/cpa.3160310405 · 1978 · External reference
Quotients by groupoids
10.2307/2951828 · 1997 · External reference
Toroidal embeddings
1973 · External reference
The length of vectors in representation spaces
1978 · External reference
Unresolved reference
1976 · External reference
Cohomology of Quotients in Symplectic and Algebraic Geometry
1984 · External reference
Convexity properties of the moment mapping III
10.1007/bf01388838 · 1984 · External reference
Partial desingularisations of quotients of nonsingular varieties and their Betti numbers
10.2307/1971369 · 1985 · External reference
On spaces of maps from Riemann surfaces to Grassmannians and applications to the cohomology of moduli of vector bundles
10.1007/bf02384399 · 1986 · External reference
On the homology of compactifications of moduli spaces of vector bundles over a Riemann surface
1986 · External reference
On the homology of compactifications of moduli spaces of vector bundles over a Riemann surface
1992 · External reference
The cohomology rings of moduli spaces of bundles over Riemann surfaces
10.1090/s0894-0347-1992-1145826-8 · 1992 · External reference
Quotient spaces modulo algebraic groups
10.2307/2951823 · 1997 · External reference
Optimal control for holonomic and nonholonomic mechanical systems with symmetry and Lagrangian reduction
10.1137/s0363012995290367 · 1997 · External reference
Orbits, symplectic structures and representation theory
1966 · External reference
Quantization and unitary representations
10.1007/bfb0079068 · 1970 · External reference
The construction of ALE spaces as hyperkähler quotients
10.4310/jdg/1214443066 · 1989 · External reference
Symplectic cuts
10.4310/mrl.1995.v2.n3.a2 · 1995 · External reference
Unresolved reference
External reference
Hamiltonian torus actions on symplectic orbifolds and toric varieties
10.1090/s0002-9947-97-01821-7 · 1997 · External reference
Remarks on nonabelian localization
10.1155/s1073792895000390 · 1995 · External reference
Normal forms generalizing action-angle coordinates for Hamiltonian actions of Lie groups
10.1007/bf00398713 · 1983 · External reference
Modele d'action Hamiltonienne d'un groupe de Lie sur une variété symplectique
1985 · External reference
Lectures on Mechanics
10.1017/cbo9780511624001 · 1992 · External reference
Reduction, Symmetry and Phases in Mechanics
10.1090/memo/0436 · 1990 · External reference
Reduction of Poisson manifolds
10.1007/bf00398428 · 1986 · External reference
Unresolved reference
1998 · External reference
10.1016/s0926-2245(98)00021-7 · Admitted local publication
The energy-momentum method
1990 · External reference
A block diagonalization theorem in the energy momentum method
1989 · External reference
Reduction of symplectic manifolds with symmetry
10.1016/0034-4877(74)90021-4 · 1974 · External reference
Unresolved reference
1997 · External reference
Examples of simply-connected symplectic non-Kählerian manifolds
10.4310/jdg/1214438999 · 1984 · External reference
Examples of symplectic structures
10.1007/bf01404672 · 1987 · External reference
Blow-ups and symplectic embeddings in dimension 4
10.1016/0040-9383(91)90021-u · 1991 · External reference
Unresolved reference
1995 · External reference
On Riemann-Roch formulas for multiplicities
10.1090/s0894-0347-96-00197-x · 1996 · External reference
10.1006/aima.1997.1701
10.1006/aima.1997.1701 · External reference
10.1016/s0040-9383(98)00012-3
10.1016/s0040-9383(98)00012-3 · External reference
A symplectic proof of Verlinde factorization
1997 · External reference
Symmetries and integrals in mechanics
1973 · External reference
10.1007/bf02096874
10.1007/bf02096874 · External reference
Flip theorem and existence of minimal models
10.1090/s0894-0347-1988-0924704-x · 1988 · External reference
Unresolved reference
1994 · External reference
Proof of the convexity theorem
1984 · External reference
Stable and unitary bundles on a compact Riemann surface
10.2307/1970710 · 1965 · External reference
A stratification of the null cone via the moment map
10.2307/2374395 · 1984 · External reference
Introduction to Moduli Problems and Orbit Spaces
1978 · External reference
Unresolved reference
1988 · External reference
Formules de localisation en cohomologie equivariante
1997 · External reference
Unresolved reference
1992 · External reference
Quaternionic Kähler manifolds
10.1007/bf01393378 · 1982 · External reference
Theory of moduli
1975 · External reference
Fibrés vectoriels sur les courbes algébriques
1982 · External reference
Stability of relative equilibria I: the reduced energy momentum method
10.1007/bf01881678 · 1991 · External reference
Stability of coupled rigid body and geometrically exact rods: block diagonalization and the energy-momentum method
10.1016/0370-1573(90)90125-l · 1990 · External reference
Stability of relative equilibria II: three dimensional elasticity
10.1007/bf01881679 · 1991 · External reference
Holomorphic slices, symplectic reduction and multiplicities of representations
10.2307/2118628 · 1995 · External reference
Symplectic reduction and Riemann-Roch formulas for multiplicities
10.1090/s0273-0979-96-00661-1 · 1996 · External reference
Unresolved reference
External reference
Stratified symplectic spaces and reduction
10.2307/2944350 · 1991 · External reference
Topology and mechanics
10.1007/bf01418778 · 1970 · External reference
Topology and mechanics
10.1007/bf01389805 · 1970 · External reference
Reduction and quantization for singular momentum mappings
10.1007/bf00419934 · 1983 · External reference
Unresolved reference
1970 · External reference
Verification of Verlinde's formulas for SU(2)
10.1155/s1073792891000132 · 1991 · External reference
The combinatorics of the Verlinde formula
1995 · External reference
Conformal field theory and the cohomology of the moduli space of stable bundles
10.4310/jdg/1214447808 · 1992 · External reference
Stable pairs, linear systems and the Verlinde formula
10.1007/bf01232244 · 1994 · External reference
Geometric invariant theory and flips
10.1090/s0894-0347-96-00204-4 · 1996 · External reference
Symplectic reduction and quantization
10.1016/s0764-4442(97)80081-x · 1997 · External reference
Unresolved reference
External reference
On the existence of hermitian Yang-Mills connections on stable bundles over compact Kähler manifolds
10.1002/cpa.3160390714 · 1986 · External reference
On the existence of hermitian Yang-Mills connections on stable bundles over compact Kähler manifolds
10.1002/cpa.3160420505 · 1989 · External reference
Module des Fibrés Stables sur les Courbes Algébriques
10.1007/978-1-4684-7603-3 · 1985 · External reference
Geometric quantization and equivariant cohomology
1993 · External reference
Multiplicity formulas for geometric quantisation I, II
10.1215/s0012-7094-96-08206-x · 1996 · External reference
A note on the Jeffrey-Kirwan-Witten localisation formula
10.1016/0040-9383(95)00007-0 · 1996 · External reference
Equivariant index formula for orbifolds
10.1215/s0012-7094-96-08226-5 · 1996 · External reference
Fusion rules and modular transformations in 2d conformal field theory
10.1016/0550-3213(88)90603-7 · 1988 · External reference
Sophus Lie and symplectic geometry
1983 · External reference
10.1016/s0926-2245(98)00022-9 · Admitted local publication
On quantum gauge theories in two dimensions
10.1007/bf02100009 · 1991 · External reference
Two dimensional gauge theories revisited
10.1016/0393-0440(92)90034-x · 1992 · External reference
Unresolved reference
1991 · External reference
An integration formula for the squares of moment maps of circle actions
10.1007/bf00750965 · 1993 · External reference
