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arXiv · 2002.04015

Functoriality of Quantum Principal Bundles and Quantum Connections

Gustavo Amilcar Saldaña Moncada
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Abstract

Within the framework of Category Theory, we study the association between finite--dimensional representations of a compact quantum group and quantum vector bundles endowed with quantum linear connections, for a fixed quantum principal bundle equipped with a regular quantum principal connection. In particular, we establish a categorical equivalence between such quantum association functors and quantum principal bundles with a particular regular and multiplicative quantum principal connection.

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Gustavo Amilcar Saldaña Moncada. 2020-02-10. Functoriality of Quantum Principal Bundles and Quantum Connections. https://arxiv.org/abs/2002.04015

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