From a differential geometric approach parallel transport on path spaces has been addressed. Integral version establishes the category theoretic frame work. We have glossed over the topic of representations of categorical groups and its relation with categorical framework of path space parallel transport.
CITATION STYLE
Chatterjee, S., Lahiri, A., & Sengupta, A. N. (2014). Double category related to path space parallel transport and representations of lie 2 groups. In Springer Proceedings in Mathematics and Statistics (Vol. 85, pp. 379–391). Springer New York LLC. https://doi.org/10.1007/978-3-642-55361-5_22
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