Author | Lรณpez de Medrano, Santiago. author |
---|---|
Title | Involutions on Manifolds [electronic resource] / by Santiago Lรณpez de Medrano |
Imprint | Berlin, Heidelberg : Springer Berlin Heidelberg, 1971 |
Connect to | http://dx.doi.org/10.1007/978-3-642-65012-3 |
Descript | X, 106 p. online resource |
0 Notation, Conventions, Preliminaries -- I The Browder-Livesay Invariants -- I.1 Involutions of Spheres -- I.2 Involutions of Simply Connected Manifolds -- II Realization of the Browder-Livesay Invariants -- II.1 The Realization Theorem -- II.2 Constructions with Involutions -- II.3 Proof of Theorem II.1-D -- II.4 Proof of Theorem II.1-A -- II.5 Homology 3-Spheres -- II.6 Manifolds with the Same Regular Homotopy Type as Line Bundles over Projective Spaces -- II.7 Invariant Codimension 2 Spheres -- III Relations with Non-simply-connected Surgery Obstructions -- III.1 Normal Invariants -- III.2 Non-simply-connected Surgery Obstructions -- III.3 Relations with the Browder-Livesay Invariants -- IV Combinatorial Classification of Involutions -- IV.1 Some Maps and Exact Sequences -- IV.2 Computation of [Pn, G/PL] -- IV.3 The Classification Theorem -- IV.4 Another Relation with Non-simply-connected Surgery Obstructions -- IV.5 On the Topological Classification of Involutions -- V Smooth Involutions -- V.1 General Remarks on Smooth Involutions of Spheres -- V.2 Normal Invariants and Browder-Livesay Invariants -- V.3 Differentiable Structure of Spheres and Other Double Coverings -- V.4 Proof of Theorem II.1-B, Smooth Case -- V.5 Involutions and the Generalized Kervaire Invariant -- V.6 Smooth Involutions of Spheres of Low Dimension -- V.7 Action of ?n(??) (After Browder) -- V.8 How to Prove ? = ? -- VI Codimension 2 Invariant Spheres -- VI.1 Invariant vs. Characteristic Spheres -- VI.2 Applications -- VI.3 Knotted and Unknotted Codimension 2 Invariant Spheres -- VI.4 Cobordism Classes of Invariant Knots -- Some Unsolved Problems -- References -- List of Symbols