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Lectures on n-Categories and Cohomology

John C. Baez·Michael Shulman
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Abstract

The goal of these talks was to explain how cohomology and other tools of algebraic topology are 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. The talks were very informal, and so are these notes. A lengthy appendix clarifies certain puzzles and ventures into deeper waters such as higher topos theory. For readers who want more details, we include an annotated bibliography.

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John C. Baez, Michael Shulman. 2007-10-27. Lectures on n-Categories and Cohomology. https://arxiv.org/abs/math/0608420

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