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The colimit of an $\infty$-local system as a twisted tensor product

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arxiv 1805.01264 v3 pith:FMNRB2TC submitted 2018-05-03 math.AT math.CT

Manuel Rivera , Mahmoud Zeinalian This is my paper · ORCID
classification math.ATmath.CT
keywords modelscolimitequivalentinfinity-localproductsystemtensortwisted
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We describe several equivalent models for the infinity-category of infinity-local systems of chain complexes over a space using the framework of quasi-categories. We prove that the given models are equivalent as infinity-categories by exploiting the relationship between the differential graded nerve functor and the cobar construction. We use one of these models to calculate the quasi-categorical colimit of an infinity-local system in terms of a twisted tensor product.

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  1. Entanglement of Sections: The pushout of entangled and parameterized quantum information

    quant-ph 2023-09 unverdicted novelty 6.0 of 10

    The pushout of entangled and parameterized quantum information in monoidal categories yields the external tensor product on flat K-theory bundles.

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