Lectures on N-Categories and Cohomology
By John C. Baez, Michael Shulman. 2006
106 citations recorded by the source corpus.
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.
Subfields: Algebra and Number Theory, Geometry and Topology, Mathematical Physics
View Paper: https://www.semanticscholar.org/paper/a96cd3694a26494485155b52bbb0504a87db2044
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In Algebra and Number Theory
In Geometry and Topology
- Michael Mueger
- D. Venku Naidu
- D. Nikshych
- V. Ostrik
- L. Funar
- Mikhail Khovanov
- Pavel Etingof
- Corey Jones
In Mathematical Physics
- Michael Mueger
- D. Venku Naidu
- D. Nikshych
- V. Ostrik
- L. Funar
- Mikhail Khovanov
- Pavel Etingof
- Corey Jones
Citations in the corpus
- Tensor categories: a selective guided tour (2008, background): “ but also VectG ω appears in the literature. The importance of this example lies in its showing relations between categories and cohomology, which are reinforced by ‘higher category theory’, cf. e.g. [14]. But also the concrete example is relevant for the classification of fusion categories, at least”