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arXiv · 1411.0447

Rank two jump loci for solvmanifolds and Lie algebras

Stefan Papadima·Laurentiu Paunescu
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Abstract

We consider representation varieties in $SL_2$ for lattices in solvable Lie groups, and representation varieties in $sl_2$ for finite-dimensional Lie algebras. Inside them, we examine depth 1 characteristic varieties for solvmanifolds, respectively resonance varieties for cochain Differential Graded Algebras of Lie algebras. We prove a general result that leads, in both cases, to the complete description of the analytic germs at the origin, for the corresponding embedded rank 2 jump loci.

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Stefan Papadima, Laurentiu Paunescu. 2014-11-03. Rank two jump loci for solvmanifolds and Lie algebras. https://arxiv.org/abs/1411.0447

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