Unoriented bordism
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Contents |
1 Introduction
We denote the non-oriented bordism groups by . The sum of these groups
are a ring under cartesian products of the manifolds. Thom [Thom] has shown that this ring is a polynomial ring over in variables for and he has shown that for even one can take for . Dold \cite {Dold} has constructed manifolds for with odd.
2 Construction and examples
Dold constructs certain bundles over with fibre denoted by
where is the involution mapping to and for . These manifolds are now cold Dold manifolds.
Using the results by Thom [Thom] Dold shows that these manifolds give ring generators of .
Theorem (Dold) [Dold]: 2.1. For even set and for set . Then for
are polynomial generators of olver :
3 Invariants
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4 Classification/Characterization (if available)
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5 Further discussion
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6 References
This page has not been refereed. The information given here might be incomplete or provisional. |