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Poincaré–Verdier Duality

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Intersection Homology & Perverse Sheaves

Part of the book series: Graduate Texts in Mathematics ((GTM,volume 281))

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Abstract

In this chapter we introduce the dualizing functor and dualizing complex, and show how these can be used to deduce Poincaré and Alexander duality statements for manifolds.

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Notes

  1. 1.

    There are various incarnations of the orientation sheaf appearing in these notes; these are all nicely explained in [15, V.7] or [122, Section 3.3].

References

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Maxim, L.G. (2019). Poincaré–Verdier Duality. In: Intersection Homology & Perverse Sheaves. Graduate Texts in Mathematics, vol 281. Springer, Cham. https://doi.org/10.1007/978-3-030-27644-7_5

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