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| An Example Using Improved Lefschetz Duality |
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Citation： |
Pascal LAMBRECHTS,Jeremy LANE,Donald STANLEY.An Example Using Improved Lefschetz Duality[J].Chinese Annals of Mathematics B,2017,38(6):1269~1274 |
| Page view： 1137
Net amount： 1235 |
Authors： |
Pascal LAMBRECHTS; Jeremy LANE;Donald STANLEY |
Foundation： |
The work was supported by the National Science and Engineering Research Council of
Canada. |
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| Abstract： |
A theorem of Lambrechts and Stanley is used to find the rational
cohomology of the complement of an embedding $S^{4n-1}\rightarrow
S^{2n}\times S^m$ as a {module} and demonstrate that it is not
necessarily determined by the map induced on cohomology by the
embedding, nor is it a trivial extension. This demonstrates that the
theorem is an improvement on the classical Lefschetz duality. |
Keywords： |
Lefschetz duality, Embedding, Extension problem |
Classification： |
55P62, 57N35 |
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