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On Some Geometric Invariants Associated to the Space of Flat Connections on an Open Space

Published online by Cambridge University Press:  20 November 2018

I. Biswas  and
K. Guruprasad
I. Biswas
Affiliation:
School of Mathematics, T.I.F.R. Homi Bhabba Road, Bombay - 400005, India
K. Guruprasad
Affiliation:
Department of Mathematics, Indian Institute of Science, Bangalore - 560012, India
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Abstract

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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.

Keywords

57R20Marked surfaceconnectionsholonomyparabolic moduli spacesymplectic structureChern-Simons forms and Coulomb connection
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 39 , Issue 2 , 01 June 1996 , pp. 169 - 177
Copyright
Copyright © Canadian Mathematical Society 1996

References

[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
[BR] 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
[DW] 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
[G] Goldman, W., The symplectic nature of fundamental group of surfaces, Adv. Math. 54(1984), 200–225.Google Scholar
[Gu] 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