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Shadows are Bicategorical Traces

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 نشر من قبل Nima Rasekh
 تاريخ النشر 2021
  مجال البحث
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The theory of shadows is an axiomatic, bicategorical framework that generalizes topological Hochschild homology (THH) and satisfies analogous important properties, such as Morita invariance. Using Bermans extension of THH to bicategories, we prove that there is an equivalence between functors out of THH of a bicategory and shadows on that bicategory. As an application we provide a new, conceptual proof that shadows are Morita invariant.



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