Lagrangian exotic spheres

Framed Bordism and Lagrangian Embeddings of Exotic Spheres

Contents 1. Introduction 1 2. Construction of the bounding manifold 3 3. Transversality 21 4. Preliminaries for gluing 28 5. Construction of an extended gluing map 37 6. Local injectivity of the gluing map 52 7. Gluing near higher codimension strata 61 8. Construction of a smooth manifold with corners 74 9. Triviality of the tangent space of the cobordism 80 Appendix A. Pointwise estimates 88 A...

Singularities and exotic spheres

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Exotic Spheres and Curvature

Since their discovery by Milnor in 1956, exotic spheres have provided a fascinating object of study for geometers. In this article we survey what is known about the curvature of exotic spheres.

Cobordism and Exotic Spheres

Preface Jules Henri Poincaré may rightly be considered the father of modern topology (Leonhard Euler and the Königsberg bridges notwithstanding). It is fitting, therefore, that many of the questions explored in this thesis originated with Poincaré. Poincaré's famous conjecture – which has driven so much of twentieth-century topology – arose, in fact, as the successor of an earlier conjecture. P...

Part 1. Exotic Spheres