Abstract
A theorem of Lambrechts and Stanley is used to find the rational cohomology of the complement of an embedding S4n−1 → S2n ×Sm 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.
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The work was supported by the National Science and Engineering Research Council of Canada.
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Lambrechts, P., Lane, J. & Stanley, D. An example using improved Lefschetz duality. Chin. Ann. Math. Ser. B 38, 1269–1274 (2017). https://doi.org/10.1007/s11401-017-1035-3
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DOI: https://doi.org/10.1007/s11401-017-1035-3