Abstract
This is an explanation of how cohomology is seen through the lens of n-category theory. Special topics include nonabelian cohomology, Postnikov towers, the theory of ‘n-stuff’, and n-categories for n = −1 and −2. A lengthy appendix clarifies certain puzzles and ventures into deeper waters such as higher topos theory. An annotated bibliography provides directions for further study.
AMS(MOS) subject classifications. 18G50 (Primary), 18D05, 18B25, 20JXX, 55S45 (Secondary).
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© 2010 Springer-Verlag New York
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Baez, J.C., Shulman, M. (2010). Lectures on N-Categories and Cohomology. In: Baez, J., May, J. (eds) Towards Higher Categories. The IMA Volumes in Mathematics and its Applications, vol 152. Springer, New York, NY. https://doi.org/10.1007/978-1-4419-1524-5_1
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DOI: https://doi.org/10.1007/978-1-4419-1524-5_1
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Publisher Name: Springer, New York, NY
Print ISBN: 978-1-4419-1523-8
Online ISBN: 978-1-4419-1524-5
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