Stable classification of 4-manifolds
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Contents |
1 Introduction
In this page we report about the stable classification of -manifolds.
2 Construction and examples
We begin with the construction of manifolds which give many stable diffeomorphism types of -manifolds:
- , the Kummer surface.
Let be the presentation of a group . Then we build a -dimensional complex by taking a wedge of circles and attaching a -cell via each relation . Then we thicken to a smooth compact manifold with boundary in and consider its boundary denoted by . For details and why this is well defined see Thickenings. is a smooth -manifold with fundamental group and we add it to our list
3 Invariants
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4 Classification/Characterization
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5 Further discussion
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