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Volumn 48, Issue 3, 1998, Pages 445-495

Lie group valued moment maps

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EID: 0032033952     PISSN: 0022040X     EISSN: 1945743X     Source Type: Journal    
DOI: 10.4310/jdg/1214460860     Document Type: Article
Times cited : (320)

References (25)
  • 1
    • 0031063205 scopus 로고    scopus 로고
    • On Poisson actions of compact Lie groups on symplectic manifolds
    • A. Yu. Alekseev, On Poisson actions of compact Lie groups on symplectic manifolds, J. Differential Geom. 45 (1997) 241-256.
    • (1997) J. Differential Geom , vol.45 , pp. 241-256
    • Alekseev, A.Y.1
  • 2
    • 33646038770 scopus 로고
    • Symplectic structure of the moduli space of flat connections on a Riemann surface
    • A. Yu. Alekseev & A. Z. Malkin, Symplectic structure of the moduli space of flat connections on a Riemann surface, Comm. Math. Phys. 169 (1995) 99-119.
    • (1995) Comm. Math. Phys , vol.169 , pp. 99-119
    • Alekseev, A.Y.1    Malkin, A.Z.2
  • 3
    • 0000979746 scopus 로고
    • The Yang-Mills eguations over Riemann surfaces
    • M. F. Atiyah & R. Bott, The Yang-Mills eguations over Riemann surfaces, Philos. Trans. Roy. Soc. London 308 (1982) 523-615.
    • (1982) Philos. Trans. Roy. Soc. London , vol.308 , pp. 523-615
    • Atiyah, M.F.1    Bott, R.2
  • 4
    • 0001967972 scopus 로고
    • Boundary value problems for Yang-Mills fields
    • S. K. Donaldson, Boundary value problems for Yang-Mills fields, J. Geom. Phys. 8 (1992) 89-122.
    • (1992) J. Geom. Phys , vol.8 , pp. 89-122
    • Donaldson, S.K.1
  • 6
    • 0002785466 scopus 로고
    • Hamiltonian structures on Lie groups, Lie bialgebras and the geometric meaning of the classical Yang-Baxter eguation
    • V. G. Drinfeld, Hamiltonian structures on Lie groups, Lie bialgebras and the geometric meaning of the classical Yang-Baxter eguation, Soviet. Math. Dokl. 27 (1983) 68-71.
    • (1983) Soviet. Math. Dokl , vol.27 , pp. 68-71
    • Drinfeld, V.G.1
  • 7
    • 0001552235 scopus 로고    scopus 로고
    • A convexity theorem for Poisson actions of compact Lie groups
    • H. Flaschka & T. Ratiu, A convexity theorem for Poisson actions of compact Lie groups, Ann. Sci. École Norm. Sup. 29 (1996) 787-80
    • (1996) Ann. Sci. École Norm. Sup , vol.29 , pp. 787-880
    • Flaschka, H.1    Ratiu, T.2
  • 9
    • 0001360773 scopus 로고
    • The symplectic nature of fundamental groups of surfaces
    • W. Goldman, The symplectic nature of fundamental groups of surfaces, Adv. Math. 54 (1984) 200-225.
    • (1984) Adv. Math , vol.54 , pp. 200-225
    • Goldman, W.1
  • 11
    • 0002596307 scopus 로고
    • Poisson structure on certain moduli spaces for bundles on a surface
    • J. Huebschmann, Poisson structure on certain moduli spaces for bundles on a surface, Ann. Inst. Fourier (Grenoble) 45 (1995) 65-91.
    • (1995) Ann. Inst. Fourier (Grenoble) , vol.45 , pp. 65-91
    • Huebschmann, J.1
  • 12
    • 0001558153 scopus 로고
    • Extended moduli spaces of flat connections on Riemann surfaces
    • L. Jeffrey, Extended moduli spaces of flat connections on Riemann surfaces, Math. Ann. 298 (1994) 667-692.
    • (1994) Math. Ann , vol.298 , pp. 667-692
    • Jeffrey, L.1
  • 13
    • 84974002329 scopus 로고
    • Group cohomology construction of the cohomology of moduli spaces of flat connections on 2-manifolds
    • L. Jeffrey, Group cohomology construction of the cohomology of moduli spaces of flat connections on 2-manifolds, Duke Math. J. 77 (1995) 407-429.
    • (1995) Duke Math. J , vol.77 , pp. 407-429
    • Jeffrey, L.1
  • 14
    • 0000832732 scopus 로고
    • An algebraic proof for the symplectic structure of moduli space
    • Y. Karshon, An algebraic proof for the symplectic structure of moduli space, Proc. Amer. Math. Soc. 116 (1992) 591-605.
    • (1992) Proc. Amer. Math. Soc , vol.116 , pp. 591-605
    • Karshon, Y.1
  • 15
    • 0030526892 scopus 로고    scopus 로고
    • A symplectic structure on surfaces with boundary
    • C. King & A. Sengupta, A symplectic structure on surfaces with boundary, Comm. Math. Phys. 175 (1996) 657-671.
    • (1996) Comm. Math. Phys , vol.175 , pp. 657-671
    • King, C.1    Sengupta, A.2
  • 16
    • 0000738104 scopus 로고
    • Momentum mappings and reduction of Poisson actions, Symplectic geometry, groupoids, and integrable systems (Berkeley, CA, 1989)
    • Springer, New York
    • J.-H. Lu, Momentum mappings and reduction of Poisson actions, Symplectic geometry, groupoids, and integrable systems (Berkeley, CA, 1989), Math. Sci. Res. Inst. Publ., Vol. 20, Springer, New York, 1991, 209-226.
    • (1991) Math. Sci. Res. Inst. Publ , vol.20 , pp. 209-226
    • Lu, J.-H.1
  • 17
    • 84972494622 scopus 로고
    • Poisson-Lie groups, dressing transformations and Bruhat decompositions
    • J.-H. Lu & A. Weinstein, Poisson-Lie groups, dressing transformations and Bruhat decompositions, J. Differential Geom. 31 (1990) 501-526.
    • (1990) J. Differential Geom , vol.31 , pp. 501-526
    • Lu, J.-H.1    Weinstein, A.2
  • 18
    • 0000284375 scopus 로고
    • The moment map for circle actions on symplectic manifolds
    • D. McDuff, The moment map for circle actions on symplectic manifolds, J. Geom. Phys. 5 (1988) 149-160.
    • (1988) J. Geom. Phys , vol.5 , pp. 149-160
    • McDuff, D.1
  • 22
    • 45549111952 scopus 로고
    • Fusion rules and modular transformations in 2D conformal field theory
    • E. Verlinde, Fusion rules and modular transformations in 2D conformal field theory, Nuclear Phys. B 300 (1988) 360-376.
    • (1988) Nuclear Phys. B , vol.300 , pp. 360-376
    • Verlinde, E.1
  • 23
    • 0000570798 scopus 로고
    • The symplectic structure on moduli space
    • Birkhauser, Basel
    • A. Weinstein, The symplectic structure on moduli space, The Floer memorial volume, Progr. Math., 133, Birkhauser, Basel, 1995, 627-635.
    • (1995) The Floer Memorial Volume, Progr. Math , vol.133 , pp. 627-635
    • Weinstein, A.1
  • 24
    • 84963044590 scopus 로고
    • A Duistermaat-Heckman formula for symplectic circle actions
    • J. Weitsman, A Duistermaat-Heckman formula for symplectic circle actions, Internat. Math. Res. Notices 12 (1993) 309-312.
    • (1993) Internat. Math. Res. Notices , vol.12 , pp. 309-312
    • Weitsman, J.1
  • 25
    • 0242310336 scopus 로고
    • On guantum gauge theories in two dimensions, Comm
    • E. Witten, On guantum gauge theories in two dimensions, Comm. Math. Phys. 141 (1991) 153-209.
    • (1991) Math. Phys , vol.141 , pp. 153-209
    • Witten, E.1


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