130 citations · 177 across the 8 of their papers we have counts for
11 papers
Rational homotopy theory of automorphisms of manifolds
Alexander Berglund, Ib Madsen
We study the rational homotopy types of classifying spaces of automorphism groups of smooth simply connected manifolds of dimension at least five. We give dg Lie algebra models for…
Homological stability of diffeomorphism groups
Alexander Berglund, Ib Madsen
In this paper we prove a stability theorem for block diffeomorphisms of 2d-dimensional manifolds that are connected sums of S^d x S^d. Combining this with a recent theorem of S. Ga…
The cobordism category and Waldhausen's K-theory
M. Bökstedt, Ib Madsen
This paper examines the category C^k_{d,n} whose morphisms are d-dimensional smooth manifolds that are properly embedded in the product of a k-dimensional cube with an (d+n-k)-dime…
The moduli space of generalized Morse functions
Boris Botvinnik, Ib Madsen
We study the moduli and determine a homotopy type of the space of all generalized Morse functions on d-manifolds for given d. This moduli space is closely connected to the moduli s…
Stability for closed surfaces in a background space
Ralph L. Cohen, Ib Madsen
In this paper we present a new proof of the homological stability of the moduli space of closed surfaces in a simply connected background space , which we denote by . T…
An integral Riemann-Roch theorem for surface bundles
Ib Madsen
This paper proves an integral version of the Riemann-Roch theorem for surface bundles, comparing the standard cohomology classes with the cohomology classes coming from the symplec…