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Volumn 54, Issue 1, 2002, Pages 30-54

The symplectic geometry of polygons in the 3-sphere

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EID: 0036005288     PISSN: 0008414X     EISSN: None     Source Type: Journal    
DOI: 10.4153/CJM-2002-002-1     Document Type: Article
Times cited : (6)

References (30)
  • 1
    • 0031063205 scopus 로고    scopus 로고
    • On Poisson actions of compact Lie groups on symplectic manifolds
    • A
    • [A] A. 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.1
  • 6
    • 0003316111 scopus 로고
    • Braids, links, and mapping class groups
    • Bi, Princeton Univ. Press
    • [Bi] J. Birman, Braids, links, and mapping class groups. Ann. of Math. Studies 82, Princeton Univ. Press, 1974.
    • (1974) Ann. of Math. Studies , vol.82
    • Birman, J.1
  • 10
    • 0000086776 scopus 로고
    • Invariant functions on Lie groups and Hamiltonian flows of surface group representations
    • Go
    • [Go] W. Goldman, Invariant functions on Lie groups and Hamiltonian flows of surface group representations. Invent. Math. 85(1986), 263-302.
    • (1986) Invent. Math. , vol.85 , pp. 263-302
    • Goldman, W.1
  • 11
    • 0000921978 scopus 로고    scopus 로고
    • Group systems, groupoids, and moduli spaces of parabolic bundles
    • GHJW
    • [GHJW] K. Guruprasad, J. Huebshmann, L. Jeffrey and A. Weinstein, Group systems, groupoids, and moduli spaces of parabolic bundles. Duke Math. J. 89(1997), 377-412.
    • (1997) Duke Math. J. , vol.89 , pp. 377-412
    • Guruprasad, K.1    Huebshmann, J.2    Jeffrey, L.3    Weinstein, A.4
  • 12
    • 0000864563 scopus 로고    scopus 로고
    • Polygon spaces and Grassmannians
    • HK
    • [HK] J.-C. Hausmann and A. Knutson, Polygon spaces and Grassmannians. Enseign. Math. (2) 43(1997), 173-198.
    • (1997) Enseign. Math. , vol.43 , Issue.2 , pp. 173-198
    • Hausmann, J.-C.1    Knutson, A.2
  • 13
    • 0001558153 scopus 로고
    • Extended moduli spaces of flat connections on Riemann surfaces
    • Je
    • [Je] _, Extended moduli spaces of flat connections on Riemann surfaces. Math. Ann. 298(1994), 667-692.
    • (1994) Math. Ann. , vol.298 , pp. 667-692
  • 14
    • 0010667036 scopus 로고
    • Torus actions, moment maps, and the moduli space of flat connections on a two-manifold
    • JW
    • [JW] L. Jeffrey and J. Weitsman, Torus actions, moment maps, and the moduli space of flat connections on a two-manifold. Contemp. Math. 175(1994), 49-59.
    • (1994) Contemp. Math. , vol.175 , pp. 49-59
    • Jeffrey, L.1    Weitsman, J.2
  • 15
    • 0030267988 scopus 로고    scopus 로고
    • The symplectic geometry of polygons in Euclidean space
    • KM1
    • [KM1] M. Kapovich and J.J. Millson, The symplectic geometry of polygons in Euclidean space. J. Differential Geom. 44(1996), 479-513.
    • (1996) J. Differential Geom. , vol.44 , pp. 479-513
    • Kapovich, M.1    Millson, J.J.2
  • 16
    • 0000005815 scopus 로고    scopus 로고
    • The relative deformation theory of representations of flat connections and deformations of linkages in constant curvature spaces
    • KM2
    • [KM2] _, The relative deformation theory of representations of flat connections and deformations of linkages in constant curvature spaces. Compositio Math. 103(1996), 287-317.
    • (1996) Compositio Math. , vol.103 , pp. 287-317
  • 17
    • 0010707245 scopus 로고    scopus 로고
    • On the moduli space of a spherical polygonal linkage
    • KM3
    • [KM3] _, On the moduli space of a spherical polygonal linkage. Canad. Math. Bull. 42(1999), 307-320.
    • (1999) Canad. Math. Bull. , vol.42 , pp. 307-320
  • 18
    • 0010746844 scopus 로고    scopus 로고
    • The symplectic geometry of polygons in hyperbolic 3-space
    • KMT
    • [KMT] M. Kapovich, J.J. Millson and T. Treloar, The symplectic geometry of polygons in hyperbolic 3-space. Asian J. Math 4(2000), 123-164.
    • (2000) Asian J. Math , vol.4 , pp. 123-164
    • Kapovich, M.1    Millson, J.J.2    Treloar, T.3
  • 19
    • 0000114031 scopus 로고
    • Jacobian quasi-bialgebras and quasi-Poisson Lie groups
    • KS2
    • [KS2] Y. Kosmann-Schwarzbach, Jacobian quasi-bialgebras and quasi-Poisson Lie groups. Contemp. Math. 132(1991), 459-489.
    • (1991) Contemp. Math. , vol.132 , pp. 459-489
    • Kosmann-Schwarzbach, Y.1
  • 22
    • 0000738104 scopus 로고
    • Momentum mappings and reduction of Poisson actions
    • Lu3, Springer-Verlag, New York
    • [Lu3] J.-H. Lu, Momentum mappings and reduction of Poisson actions. In: Symplectic Geometry, Groupoids, and Integable Systems, MSRI Publ. 20, Springer-Verlag, New York, 1991, 209-226.
    • (1991) Symplectic Geometry, Groupoids, and Integable Systems, MSRI Publ. , vol.20 , pp. 209-226
    • Lu, J.-H.1
  • 24
    • 84968494100 scopus 로고
    • On the volume elements on a manifold
    • Mo
    • [Mo] J. Moser, On the volume elements on a manifold. Trans. Amer. Math. Soc. 120(1965), 286-294.
    • (1965) Trans. Amer. Math. Soc. , vol.120 , pp. 286-294
    • Moser, J.1
  • 25
    • 0040157334 scopus 로고    scopus 로고
    • A Kähler structure on the moduli space of isometric maps of a circle into Euclidean space
    • MZ
    • [MZ] J.J. Millson and B. Zombro, A Kähler structure on the moduli space of isometric maps of a circle into Euclidean space. Invent. Math. 123(1996), 35-59.
    • (1996) Invent. Math. , vol.123 , pp. 35-59
    • Millson, J.J.1    Zombro, B.2
  • 27
    • 85024263510 scopus 로고
    • Dressing transformations and Poisson group actions
    • STS
    • [STS] M. Semenov-Tian-Shansky, Dressing transformations and Poisson group actions. Publ. Res. Inst. Math. Sci. 21(1985), 1237-1260.
    • (1985) Publ. Res. Inst. Math. Sci. , vol.21 , pp. 1237-1260
    • Semenov-Tian-Shansky, M.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.