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Permutative categories, multicategories, and algebraic K-theory

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arxiv 0710.0082 v2 pith:EN4WNIIY submitted 2007-09-29 math.KT math.AT

A. D. Elmendorf , M. A. Mandell This is my paper · ORCID
classification math.KTmath.AT
keywords categorysourcearxivcategoriesmathmulticategoriesmultiplicativeobjects
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abstract

We show that the $K$-theory construction of arXiv:math/0403403, which preserves multiplicative structure, extends to a symmetric monoidal closed bicomplete source category, with the multiplicative structure still preserved. The source category of arXiv:math/0403403, whose objects are permutative categories, maps fully and faithfully to the new source category, whose objects are (based) multicategories.

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  1. An equivalence theorem for algebraic and functorial QFT

    math-ph 2025-04 conditional novelty 8.0 of 10

    A new n-to-1 Lorentzian bordism pseudo-operad makes additive time-slice AQFTs equivalent to functorial QFTs.

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