nLab Ib Madsen

Ib Henning Madsen

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Selected writings

On infinite loop spaces:

• Ib Madsen, Victor Snaith, Jørgen Tornehave, Infinite loop maps in geometric topology, Mathematical Proceedings of the Cambridge Philosophical Society, Volume 81, Issue 3, (1977)(doi:10.1017/S0305004100053482)

On free group actions on n-spheres and their spherical space forms:

• Ib Madsen, Charles B. Thomas, C. T. C. Wall, The topological spherical space form problem II: existence of free actions, Topology Volume 15, Issue 4, 1976, Pages 375-382 (doi:10.1016/0040-9383(76)90031-8)

• Ib Madsen, Charles B. Thomas, C. T. C. Wall, Topological spherical space form problem III: Dimensional bounds and smoothing, Pacific J. Math. 106(1): 135-143 (1983) (pjm:1102721110)

• Ib Madsen, Smooth spherical space forms, Geometric Applications of Homotopy Theory I. Springer 1978. 303-352 (doi:10.1007/BFb0069224, pdf)

On the moduli space of Riemann surfaces, proving Mumford's conjecture (and proving, in appendix A.1, a special case of the smooth Oka principle):

• Ib Madsen, Michael Weiss: The stable moduli space of Riemann surfaces: Mumford’s conjecture, Annals of Mathematics 165 3 (2007) 843–941 [arXiv:math/0212321, doi:10.4007/annals.2007.165.843]

Related entries

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category: people