The action of the Torelli group on the homology of representation spaces is nontrivial

DOI10.1016/S0040-9383(99)00044-0zbMath0971.57024MaRDI QIDQ1568694

Ronnie Lee, Sylvain E. Cappell, Edward Y. Miller

Publication date: 1 November 2001

Published in: Topology (Search for Journal in Brave)

zbMATH Keywords

moduli spacerepresentation theorymapping class group

Mathematics Subject Classification ID

General low-dimensional topology (57M99) Homology and cohomology of Lie groups (57T10) Characteristic classes and numbers in differential topology (57R20) Equivariant homology and cohomology in algebraic topology (55N91) Global Riemannian geometry, including pinching (53C20) General geometric structures on manifolds (almost complex, almost product structures, etc.) (53C15) Fundamental group, presentations, free differential calculus (57M05) Fundamental groups and their automorphisms (group-theoretic aspects) (20F34)

Related Items (9)

The prequantum line bundle on the moduli space of flat \(\mathrm{SU}(N)\) connections on a Riemann surface and the homotopy of the large \(N\) limit ⋮ Poincaré series of character varieties for nilpotent groups ⋮ INTERSECTION COHOMOLOGY OF RANK 2 CHARACTER VARIETIES OF SURFACE GROUPS ⋮ Linear representations of \(\Aut(F_r)\) on the homology of representation varieties ⋮ Cohomology of the space of commuting \(n\)-tuples in a compact Lie group ⋮ The motive of the moduli stack of \(G\)-bundles over the universal curve ⋮ TORELLI THEOREM FOR MODULI SPACES OF SL(r,ℂ)-CONNECTIONS ON A COMPACT RIEMANN SURFACE ⋮ INTERSECTION COHOMOLOGY OF REPRESENTATION SPACES OF SURFACE GROUPS ⋮ The stable moduli space of flat connections over a surface

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