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2 results

  • On the Cohomology of Classifying Spaces of Groups of Homeomorphisms

  • Jarek Kȩdra
  • Journal:
    Proceedings of the Edinburgh Mathematical Society / Volume 57 / Issue 3 / October 2014
    Published online by Cambridge University Press:
    10 April 2014, pp. 763-778
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  • Let M be a closed simply connected 2n-dimensional manifold. The paper is concerned with the cohomology of classifying spaces of connected groups of homeomorphisms of M.

  • Commuting elements in central products of special unitary groups

  • Part of
  • Alejandro Adem, F. R. Cohen, José Manuel Gómez
  • Journal:
    Proceedings of the Edinburgh Mathematical Society / Volume 56 / Issue 1 / February 2013
    Published online by Cambridge University Press:
    24 October 2012, pp. 1-12
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  • We study the space of commuting elements in the central product Gm,p of m copies of the special unitary group SU(p), where p is a prime number. In particular, a computation for the number of path-connected components of these spaces is given and the geometry of the moduli space Rep(ℤn, Gm,p) of isomorphism classes of flat connections on principal Gm,p-bundles over the n-torus is completely described for all values of n, m and p.