Computation of Nielsen and Reidemeister coincidence numbers for multiple maps

DOI10.12775/TMNA.2020.002zbMath1479.55004arXiv2001.06730OpenAlexW3111456987MaRDI QIDQ2236455

Yanyan Li

Publication date: 25 October 2021

Published in: Topological Methods in Nonlinear Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2001.06730

zbMATH Keywords

Nielsen numbercoincidenceNielsen theoryReidemeister number

Mathematics Subject Classification ID

Fixed-point theorems on manifolds (58C30) Fixed points and coincidences in algebraic topology (55M20)

Cites Work

• Lefschetz coincidence class for several maps
• Nielsen equalizer theory
• Kähler and symplectic structures on nilmanifolds
• Coincidence Wecken property for nilmanifolds
• The Lefschetz coincidence class of \(p\) maps
• Coincidence theory for spaces which fiber over a nilmanifold
• Obstruction theory for coincidences of multiple maps
• Obstruction theory and coincidences of maps between nilmanifolds
• Groupoids and relations among Reidemeister and among Nielsen numbers
• On removing coincidences of two maps when only one, rather than both, of them may be deformed by a homotopy
• Symplectic structures on nilmanifolds: an obstruction for its existence
• Certain Subgroups of the Fundamental Group and the Number of Roots of f(x) = a
• Reidemeister number, Hirsch rank, coincidences on polycyclic groups and solvmanifolds
• Nilmanifolds are Jiang-type spaces for coincidences
• Wecken property for roots
• On the sharpness of the ∆2 and ∆1 Nielsen numbers.
• Homogeneous spaces in coincidence theory II
• Complex structures on nilpotent Lie algebras

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