An example using improved Lefschetz duality

Pascal Lambrechts; Jeremy Lane; Donald Stanley

doi:10.1007/s11401-017-1035-3

Chinese Annals of Mathematics, Series B ›› 2017, Vol. 38 ›› Issue (6) : 1269 -1274. DOI: 10.1007/s11401-017-1035-3

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An example using improved Lefschetz duality

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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 → S ²ⁿ ×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

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Pascal Lambrechts, Jeremy Lane, Donald Stanley. An example using improved Lefschetz duality. Chinese Annals of Mathematics, Series B, 2017, 38(6): 1269-1274 DOI:10.1007/s11401-017-1035-3

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