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math.CT2024
Groupoid Cardinality and Random Permutations
John C. Baez
If we treat the symmetric group as a probability measure space where each element has measure , then the number of cycles in a permutation becomes a random variable. Th…
math.CT2024
2-Rig Extensions and the Splitting Principle
John C. Baez, Joe Moeller, Todd Trimble
Classically, the splitting principle says how to pull back a vector bundle in such a way that it splits into line bundles and the pullback map induces an injection on -theory. H…