Poincar´e duality and the existence of exotic structures on n-spheres
Keywords:
Poincaré duality, Exotic sphere, Milnor fibrationAbstract
Poincar´e duality is a remarkable result in Algebraic Topology. It guarantees the existence of an isomorphism between the homology and cohomology groups of manifolds. We present a survey of the most general version of this result and its most important variations such as the Lefschetz duality and the Alexander duality. We consider an important application of these results in the study of the existence of exotic structures on n-spheres.
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Copyright (c) 2023 Maico Felipe Silva Ribeiro, Leandro Nery de Oliveira, Thiago Filipe da Silva
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