3 citations · 19 across the 27 of their papers we have counts for
6 papers · 1 filter
A diffeomorphism classification of manifolds which are like projective planes
Linus Kramer, Stephan Stolz
We give a complete diffeomorphism classification of 1-connected manifolds (of dimension different from 4) whose integral homology is H(M)=Z+Z+Z.
Asymptotic cones and ultrapowers of Lie groups
Linus Kramer, Katrin Tent
Asymptotic cones of metric spaces were first invented by Gromov. They are metric spaces which capture the 'large-scale structure' of the underlying metric space. Later, van den Dri…
Asymptotic cones of finitely presented groups
Linus Kramer, Saharon Shelah, Katrin Tent +1
Let G be a connected semisimple Lie group with at least one absolutely simple factor S such that R-rank(S) is at least 2, and let be a uniform lattice in G. (a) If holds,…
Projective planes and their look-alikes
Linus Kramer
We classify all closed 1-connected manifolds which look like projective planes, i.e. with integral homology . Furthermore, we give an explicit construction of these…
Homogeneous spaces, Tits buildings, and isoparametric hypersurfaces
Linus Kramer
We classify compact 2-connected homogeneous spaces with the same rational cohomology as a product of spheres. This classification relies on spectral sequences, homotopy theory, and…
Loop groups and twin buildings
Linus Kramer
We describe some buildings related to complex Kac-Moody groups. First we describe the spherical building of SLn(C) (i.e. the projective geometry PG(Cn)) and its Veronese representa…