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• W2519503608 abstract "We use augmented commutative differential graded algebra (ACDGA) models to study $G$-representation varieties of fundamental groups $pi=pi_1(M)$ and their embedded cohomology jump loci, around the trivial representation 1. When the space $M$ admits a finite family of maps, uniformly modeled by ACDGA morphisms, and certain finiteness and connectivity assumptions are satisfied, the germs at 1 of ${rm Hom} (pi,G)$ and of the embedded jump loci can be described in terms of their infinitesimal counterparts, naturally with respect to the given families. This approach leads to fairly explicit answers when $M$ is either a compact Kahler manifold, the complement of a central complex hyperplane arrangement, or the total space of a principal bundle with formal base space, provided the Lie algebra of the linear algebraic group $G$ is a non-abelian subalgebra of $mathfrak{sl}_2(mathbb{C})$." @default.
• W2519503608 created "2016-09-23" @default.
• W2519503608 creator A5007912010 @default.
• W2519503608 creator A5037132748 @default.
• W2519503608 date "2019-07-01" @default.
• W2519503608 modified "2023-09-30" @default.
• W2519503608 title "Naturality properties and comparison results for topological and infinitesimal embedded jump loci" @default.
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• W2519503608 doi "https://doi.org/10.1016/j.aim.2019.04.058" @default.
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