Fixed points of surface diffeomorphisms

DOI10.2140/pjm.1993.160.67zbMath0829.55001OpenAlexW2060870769MaRDI QIDQ1325282

Jianhan Guo, Bo Ju Jiang

Publication date: 15 January 1996

Published in: Pacific Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2140/pjm.1993.160.67

zbMATH Keywords

Nielsen numberLefschetz numberhomeomorphism of a compact surfacehomeomorphisms of surfaces with boundaryNielsen's conjecture for homeomorphisms of surfacesrelative Nielsen theories

Mathematics Subject Classification ID

Related Items (38)

Nielsen periodic point theory for periodic maps on orientable surfaces ⋮ Topological methods in surface dynamics ⋮ The boundary-Wecken classification of surfaces ⋮ Isotopic homeomorphisms and Nielsen fixed point theory ⋮ Symplectic Floer homology of area-preserving surface diffeomorphisms ⋮ Homotopical theory of periodic points of periodic homeomorphisms on closed surfaces ⋮ The Nielsen number as an isotopy invariant ⋮ Computation of Nielsen numbers for maps of compact surfaces with boundary ⋮ Mapping classes are almost determined by their finite quotient actions ⋮ The group fixed by a family of endomorphisms of a surface group ⋮ A sharp lower bound on fixed points of surface symplectomorphisms in each mapping class ⋮ Braids and linked periodic orbits of disc homeomorphisms ⋮ Some developments in Nielsen fixed point theory ⋮ Surface automorphisms and finite covers ⋮ A note on the free degrees of homeomorphisms on genus 2 orientable compact surfaces ⋮ Bounds for fixed points and fixed subgroups on surfaces and graphs ⋮ Free degrees of homeomorphisms on compact surfaces ⋮ Bounds for fixed points on Seifert manifolds ⋮ On the Nielsen numbers of slide homeomorphisms on 3-manifolds. ⋮ Bounds for fixed points on products of hyperbolic surfaces ⋮ Virtual homological spectral radii for automorphisms of surfaces ⋮ On the bounded index property for products of aspherical polyhedra ⋮ Classes of Wecken maps of surfaces with boundary ⋮ The Wecken property for random maps on surfaces with boundary ⋮ Nielsen numbers of selfmaps of Sol 3-manifolds ⋮ Reducing the number of fixed points of some homeomorphisms on nonprime \(3\)-manifolds ⋮ Lehmer's Question, Knots and Surface Dynamics ⋮ The index of coincidence Nielsen classes of maps between surfaces ⋮ A forcing relation of braids from Nielsen fixed point theory ⋮ Nielsen theory, braids and fixed points of surface homeomorphisms ⋮ INDEX BOUNDS FOR MAPS DEFINED ON A WEDGE OF SURFACES ⋮ Fixed points of boundary-preserving maps of punctured discs ⋮ Dynamics of surface diffeomorphisms relative to homoclinic and heteroclinic orbits ⋮ The generalized Lefschetz number of homeomorphisms on punctured disks ⋮ An algorithm for calculating the Nielsen number on surfaces with boundary ⋮ Jakob Nielsen (1890-1959) ⋮ The fixed subgroups of homeomorphisms of Seifert manifolds ⋮ Fixed point index and braid invariant for fixed points of embeddings on the disk

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