摘要: We develop a theory of "quasi"-Hamiltonian G-spaces for which the moment map takes values in group G itself rather than dual Lie algebra. The includes counterparts Hamiltonian, reductions, Guillemin-Sternberg symplectic cro
harvard.edu
sci-hub.se 参考文章(20)
P. B. Kronheimer, Simon K. Donaldson, The Geometry of Four-Manifolds ,(1990)
Eckhard Meinrenken, Chris Woodward, FUSION OF HAMILTONIAN LOOP GROUP MANIFOLDS AND COBORDISM arXiv: Differential Geometry. ,(1997)
Jiang-Hua Lu, Alan Weinstein, Poisson Lie groups, dressing transformations, and Bruhat
decompositions Journal of Differential Geometry. ,vol. 31, pp. 501- 526 ,(1990) , 10.4310/JDG/1214444324
Hermann Flaschka, Tudor Ratiu, A convexity theorem for Poisson actions of compact Lie groups Annales scientifiques de l'École normale supérieure. ,vol. 29, pp. 787- 809 ,(1996) , 10.24033/ASENS.1754
A. Yu. Alekseev, A. Z. Malkin, Symplectic structure of the moduli space of flat connection on a Riemann surface Communications in Mathematical Physics. ,vol. 169, pp. 99- 119 ,(1995) , 10.1007/BF02101598
Yael Karshon, An algebraic proof for the symplectic structure of moduli space Proceedings of the American Mathematical Society. ,vol. 116, pp. 591- 605 ,(1992) , 10.1090/S0002-9939-1992-1112494-2
Lisa C. Jeffrey, Group cohomology construction of the cohomology of moduli spaces of flat connections on $2$-manifolds Duke Mathematical Journal. ,vol. 77, pp. 407- 429 ,(1995) , 10.1215/S0012-7094-95-07712-6
S.K. Donaldson, Boundary value problems for Yang—Mills fields Journal of Geometry and Physics. ,vol. 8, pp. 89- 122 ,(1992) , 10.1016/0393-0440(92)90044-2
Lisa C. Jeffrey, Extended moduli spaces of flat connections on Riemann surfaces Mathematische Annalen. ,vol. 298, pp. 667- 692 ,(1994) , 10.1007/BF01459756
William M Goldman, The Symplectic Nature of Fundamental Groups of Surfaces Advances in Mathematics. ,vol. 54, pp. 200- 225 ,(1984) , 10.1016/0001-8708(84)90040-9