On the mapping class group action on the cohomology of the representation space of a surface
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- by Indranil Biswas
- Proc. Amer. Math. Soc. 124 (1996), 1959-1965
- DOI: https://doi.org/10.1090/S0002-9939-96-03329-1
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Abstract:
The mapping class group of a $d$-pointed Riemann surface has a natural $C^{\infty }$ action on any moduli space of parabolic bundles with the marked points as the parabolic points. We prove that under some numerical conditions on the parabolic data, the induced action of the mapping class group on the cohomology algebra of the moduli space of parabolic bundles factors through the natural epimorphism of the mapping class group onto the symplectic group.References
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Bibliographic Information
- Indranil Biswas
- Affiliation: School of Mathematics, Tata Institute of Fundamental Research, Bombay 400005, India
- Address at time of publication: Institut Fourier des Mathématiques, Université Grenoble I, BP 74, 38402 St. Martin d’Héres-cédex, France
- MR Author ID: 340073
- Email: indranil@math.tifr.res.in
- Received by editor(s): December 14, 1994
- Communicated by: Ronald Stern
- © Copyright 1996 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 124 (1996), 1959-1965
- MSC (1991): Primary 58D19; Secondary 14D20
- DOI: https://doi.org/10.1090/S0002-9939-96-03329-1
- MathSciNet review: 1326998