Since Milnor's discovery of exotic spheres [Mi], one of the most intriguing problems in
Riemannian geometry has been whether there are exotic spheres with positive curvature. It …

We construct a metric with positive sectional curvature on a 7-manifold which supports an
isometry group with orbits of codimension 1. It is a connection metric on the total space of an …

We classify the total spaces of bundles over the four sphere with fiber a three sphere up to
orientation preserving and reversing homotopy equivalence, homeomorphism and …

Although the theory and applications of secondary cohomology operations are an important
part of an advanced graduate-level algebraic topology course, there are few books on the …

In this article, a six-parameter family of highly connected 7-manifolds which admit an SO(3)-
invariant metric of non-negative sectional curvature is constructed and the Eells-Kuiper …

Diffeomorphism type of the Berger space SO (5)/SO (3) Page 1 Diffeomorphism type of the
Berger space SO (5)/SO (3) Sebastian Goette, Nitu Kitchloo, Krishnan Shankar American …

Computations and Applications of Á Invariants Page 1 Computations and Applications of Á
Invariants Sebastian Goette Abstract We give a survey on Á-invariants including methods of …

Adiabatic limits of Seifert fibrations, Dedekind sums, and the diffeomorphism type of certain 7-manifolds
Page 1 DOI 10.4171/JEMS/492 J. Eur. Math. Soc. 16, 2499–2555 c European Mathematical …

arXiv:0809.2304v4 [math.DG] 21 Mar 2011 Page 1 arXiv:0809.2304v4 [math.DG] 21 Mar
2011 AN EXOTIC T1 S4 WITH POSITIVE CURVATURE KARSTEN GROVE, LUIGI VERDIANI …

Cohomogeneity One Manifolds with Singly Generated Rational Cohomology Page 1
Documenta Math. 1835 Cohomogeneity One Manifolds with Singly Generated Rational …