Some developments in Nielsen fixed point theory
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Publication:1698322
DOI10.1007/s10114-017-6503-xzbMath1386.55005OpenAlexW2623799542MaRDI QIDQ1698322
Publication date: 15 February 2018
Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10114-017-6503-x
Fixed points and coincidences in algebraic topology (55M20) Research exposition (monographs, survey articles) pertaining to algebraic topology (55-02)
Related Items (2)
Fixed points and stable images of endomorphisms for the free group of rank two ⋮ Dold sequences, periodic points, and dynamics
Cites Work
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- The conjugacy problem in groups of non-orientable 3-manifolds
- Minimizing the number of periodic points for smooth maps. Non-simply connected case
- Bounds for fixed points and fixed subgroups on surfaces and graphs
- Free degrees of homeomorphisms on compact surfaces
- The WYK algorithm for maps of aspherical figure-eight type finite polyhedra
- Duality, trace and transfer
- The number and linking of periodic solutions of periodic systems
- A relative Nielsen number
- Equivariant Nielsen numbers
- Symplectic Floer homology of area-preserving surface diffeomorphisms
- Equivariant Nielsen invariants for discrete groups
- A trace formula for the forcing relation of braids
- Nielsen coincidence theory of fibre-preserving maps and Dold's fixed point index
- Fixed point classes of a fiber map
- Homological identities for closed orbits
- Fixed points and braids
- Minimizing the number of fixed points for self-maps of compact surfaces
- Fixed point indices of iterated maps
- Train tracks and automorphisms of free groups
- Free degrees of homeomorphisms and periodic maps on closed surfaces
- Minimizing the cardinality of the fixed point set for self-maps of surfaces with boundary
- A remark on the Lefschetz fixed point formula for differentiable maps
- Fixed points of surface diffeomorphisms
- Topological methods in surface dynamics
- Trace and torsion in the theory of flows
- Train-tracks for surface homeomorphisms
- The Nielsen number as an isotopy invariant
- Combinatorial Lie bialgebras of curves on surfaces.
- Minimal sets of periods for torus maps
- The fixed point index of fibre-preserving maps
- Homeomorphisms of 3-manifolds and the realization of Nielsen number
- Minimal sets of periods for torus maps via Nielsen numbers
- Computing Nielsen numbers of surface homeomorphisms
- Estimation of the number of periodic orbits
- Nielsen number of a covering map
- Geometric and homotopy theoretic methods in Nielsen coincidence theory
- Wecken's theorem for periodic points in dimension at least 3
- The Nielsen number of a fibre map
- Conjugacy problem in groups of oriented geometrizable 3-manifolds
- An Implementation of the Bestvina–Handel Algorithm for Surface Homeomorphisms
- Fixed point theory and trace for bicategories
- The quadratic isoperimetric inequality for mapping tori of free group automorphisms
- THE CONJUGACY PROBLEM IS SOLVABLE IN FREE-BY-CYCLIC GROUPS
- Minimal number of periodic points for C 1 self-maps of compact simply-connected manifolds
- Lectures on Nielsen fixed point theory
- The Nielsen number on surfaces
- The Nielsen numbers of maps of nil-manifolds
- Fixed-point theory for homogeneous spaces
- On the Least Number of Fixed Points
- An algorithm for calculating the Nielsen number on surfaces with boundary
- Parameterized Lefschetz-Nielsen Fixed Point Theory and Hochschild Homology Traces
- On the Groups of Orientable Two-Manifolds
- Dynamical zeta functions, Nielsen theory and Reidemeister torsion
- Orientation-preserving self-homeomorphisms of the surface of genus two have points of period at most two
- The Group Fixed by a Family of Injective Endomorphisms of a Free Group
- The treatment of periodic orbits by the methods of fixed point theory
- A Lower Bound for the Δ-Nielsen Number
- Recent results in the fixed point theory of continuous maps
- Averaging Formula for Nielsen Numbers
- The minimal number of roots of surface mappings and quadratic equations in free groups
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