INTERSECTION COHOMOLOGY OF REPRESENTATION SPACES OF SURFACE GROUPS
Keyword(s):
The representation space X(G) = Hom (π, G)/G of the fundamental group π of a Riemann surface Σ of genus g ≥ 2 is the symplectic reduction of the extended moduli space defined in [6]. Using this description, we study the local structure of X(G) and show that the assumptions of the splitting theorem [11, Theorem 7.7] are satisfied. Hence the middle perversity intersection cohomology is canonically isomorphic to a subspace of the equivariant cohomology [Formula: see text] which can be computed quite explicitly. The case when G = SU(2) is discussed in detail.
2000 ◽
pp. 249-261
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Keyword(s):
2001 ◽
Vol 63
(3)
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pp. 754-768
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2000 ◽
Vol 52
(6)
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pp. 1235-1268
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2013 ◽
Vol 50
(1)
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pp. 31-50
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1992 ◽
Vol 145
(3)
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pp. 425-433
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2019 ◽
Vol 2019
(754)
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pp. 143-178
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2014 ◽
Vol 16
(02)
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pp. 1350010
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Keyword(s):
2008 ◽
Vol 144
(3)
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pp. 721-733
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