Lifts of simple curves in finite regular coverings of closed surfaces

DOI10.1007/s10711-018-0359-9OpenAlexW2963963465MaRDI QIDQ2417650

Ingrid Irmer

Publication date: 12 June 2019

Published in: Geometriae Dedicata (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1508.04815

zbMATH Keywords

homologycovering spacemapping class groupssurface groups

Mathematics Subject Classification ID

Covering spaces and low-dimensional topology (57M10) Topological methods in group theory (57M07) Homological methods in group theory (20J05) Group actions and symmetry properties (58D19) Fundamental groups and their automorphisms (group-theoretic aspects) (20F34)

Related Items (2)

Finding simple curves in surface covers is undecidable ⋮ Quotients of surface groups and homology of finite covers via quantum representations

Uses Software

• MathOverflow

Cites Work

• The first Johnson subgroups act ergodically on \(\mathrm{SU}(2)\)-character varieties
• Finite covers of graphs, their primitive homology, and representation theory
• Prym representations of mapping class groups
• Simple closed curves, finite covers of surfaces, and power subgroups of \(\mathrm{Out}(F_n)\)
• Quotients of surface groups and homology of finite covers via quantum representations
• Abelian quotients of subgroups of the mapping class group and higher Prym representations
• A survey of the Torelli group
• Unnamed Item

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