Titlebook: Chern-Simons Theory and Equivariant Factorization Algebras; Corina Keller Book 2019 The Editor(s) (if applicable) and The Author(s), under

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Principal Bundles and Gauge Theory,al finite-dimensional vector space, then . : M → . is a vector field. More generally, we can consider a family of spaces {.}.ϵ. varying over the points on M, that is .(.) ϵ . for each . ϵ .. A field . is then understood as a . from the spacetime manifold into the bundle of spaces over .. This is exa

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-Algebras and Derived Formal Moduli Problems, space, comprising the study of ., which are spaces parameterizing equivalence classes of structures. With a . we thus mean the infinitesimal description of a moduli space, capturing the local structure around a given point. In this chapter we first address the classical theory of algebraic deformat

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Calculus

Chern-Simons Theory and Equivariant Factorization Algebras978-3-658-25338-7Series ISSN 2625-3577 Series E-ISSN 2625-3615

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Factorization Algebras,n a precise way, by its behavior on smaller open sets. Since there is a close relation between prefactorization algebras and precosheaves, we can think of this local-to-global property as the analog of the gluing axiom for sheaves.