Homotopy groups of free group character varieties

DOI10.2422/2036-2145.201510_004zbMath1403.14011arXiv1412.0272OpenAlexW2225020102MaRDI QIDQ4603995

Sean Lawton, Carlos A. A. Florentino, Daniel A. Ramras

Publication date: 23 February 2018

Published in: ANNALI SCUOLA NORMALE SUPERIORE - CLASSE DI SCIENZE (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1412.0272

zbMATH Keywords

simplicial complexesGIT quotientshomotopy groupscharacter varieties of free groups

Mathematics Subject Classification ID

Singularities in algebraic geometry (14B05) Homotopy groups, general; sets of homotopy classes (55Q05) Geometric invariant theory (14L24) Group actions on varieties or schemes (quotients) (14L30) Algebraic moduli problems, moduli of vector bundles (14D20) Simplicial sets and complexes in algebraic topology (55U10)

Related Items (13)

Bad representations and homotopy of character varieties ⋮ Character varieties of free groups are Gorenstein but not always factorial ⋮ Bad irreducible subgroups and singular locus for character varieties in \(\mathrm{PSL}(p,\mathbb {C})\) ⋮ Centralizers of irreducible subgroups in the projective linear group ⋮ Varieties of characters ⋮ Invariants of pairs in 𝑆𝐿(4,ℂ) and 𝕊𝕌(3,1) ⋮ Flawed groups and the topology of character varieties ⋮ Serre polynomials of \(\mathrm{SL}_n\)- and \(\mathrm{PGL}_n\)-character varieties of free groups ⋮ \(\mathrm{SO}(2n, \mathbb{C})\)-character varieties are not varieties of characters ⋮ Rank 1 character varieties of finitely presented groups ⋮ The homotopy groups of a homotopy group completion ⋮ Fundamental group of moduli spaces of representations ⋮ Virtual classes of representation varieties of upper triangular matrices via topological quantum field theories

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