On Some Geometric Invariants Associated to the Space of Flat Connections on an Open Space
Canadian mathematical bulletin, Tome 39 (1996) no. 2, pp. 169-177

Voir la notice de l'article provenant de la source Cambridge University Press

A geometric invariant is associated to the parabolic moduli space on a marked surface and is related to the symplectic structure of the moduli space.
DOI : 10.4153/CMB-1996-021-3
Mots-clés : 57R20, Marked surface, connections, holonomy, parabolic moduli space, symplectic structure, Chern-Simons forms and Coulomb connection
Biswas, I.; Guruprasad, K. On Some Geometric Invariants Associated to the Space of Flat Connections on an Open Space. Canadian mathematical bulletin, Tome 39 (1996) no. 2, pp. 169-177. doi: 10.4153/CMB-1996-021-3
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[BG] Biswas, I. and Guruprasad, K., Principal bundles on open surfaces and invariant functions of Lie groups, Int. J. of Math. 4(1993), 535–544. Google Scholar

Biswas, I. andRaghavenda, N., Determinants of parabolic bundles on a Riemann surface, Proc. Ind. Math. Soc. 103(1993), 41–72. Google Scholar

[CS] Chern, S. S. and Simons, J., Characteristic forms and geometric invariants, Ann. Math. 99(1974), 48–69. Google Scholar

Daskalopoulos, G. and Wentworth, R., Geometric quantization for the moduli space of vector bundles with parabolic structure, preprint (1992). Google Scholar

[FU] Freed, D. S. and Uhlenbeck, K. K., Instantons and four-manifolds, M.S.R.I. Publication, Vol. 1, Springer- Verlag. Google Scholar

Goldman, W., The symplectic nature of fundamental group of surfaces, Adv. Math. 54(1984), 200–225. Google Scholar

Guruprasad, K., Flat connections, geometric invariants and the symplectic nature of the fundamental group of surfaces, Pacific J. Math. 162(1994), 45–55. Google Scholar

[GK] Guruprasad, K. and Kumar, S., A new geometric invariants associated to the space of flat connections, Comp. Math. 73(1990), 199–222. Google Scholar

[NR] Narasimhan, M. S. and Ramadas, T. R., Geometry o/SU(2) gauge fields, Comm. Math. Phys. 67(1979), 121–136. Google Scholar

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