Computation of Nielsen numbers for maps of compact surfaces with boundary

DOI10.1016/j.jpaa.2006.01.009zbMath1111.55002OpenAlexW2081308667MaRDI QIDQ861838

Seung Won Kim

Publication date: 2 February 2007

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jpaa.2006.01.009

zbMATH Keywords

fixed pointNielsen numbersurface with boundarybounded solution length

Mathematics Subject Classification ID

Fixed points and coincidences in algebraic topology (55M20)

Related Items (6)

The twisted conjugacy problem for finitely generated free groups. ⋮ Estimating Nielsen numbers on wedge product spaces ⋮ Remnant inequalities and doubly-twisted conjugacy in free groups ⋮ The WYK algorithm for maps of aspherical figure-eight type finite polyhedra ⋮ The Nielsen number on aspherical figure-eight type polyhedra ⋮ Fixed points of maps of a nonaspherical wedge

Cites Work

• Fixed points and braids
• Bounds for fixed points on surfaces
• Fixed points of surface diffeomorphisms
• Bounds on the fixed point indices for self-maps of certain simplicial complexes
• Fixed points and braids. II
• Computing Nielsen numbers of surface homeomorphisms
• Lectures on Nielsen fixed point theory
• An algorithm for calculating the Nielsen number on surfaces with boundary
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