Search results for: algebraic periods

• Algebraic periods of self-maps of a rational exterior space of rank 2

  Publication

  • G. Graff

  - Year 2006

  Artykuł stanowi kompletny opis okresów algebraicznych dla odwzorowań wymiernej przestrzeni zewnętrznej rangi 2 w siebie.

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• Algebraic periods and minimal number of periodic points for smooth self-maps of 1-connected 4-manifolds with definite intersection forms

  Publication

  • H. Duan
  • G. Graff
  • J. Jezierski
  • A. Myszkowski

  - Journal of Fixed Point Theory and Applications - Year 2024

  Let M be a closed 1-connected smooth 4-manifolds, and let r be a non-negative integer. We study the problem of finding minimal number of r-periodic points in the smooth homotopy class of a given map f: M-->M. This task is related to determining a topological invariant D^4_r[f], defined in Graff and Jezierski (Forum Math 21(3):491–509, 2009), expressed in terms of Lefschetz numbers of iterations and local fixed point indices of...

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• Periodic expansion in determining minimal sets of Lefschetz periods for Morse–Smale diffeomorphisms

  Publication

  • G. Graff
  • M. Lebiedź
  • A. Myszkowski

  - Journal of Fixed Point Theory and Applications - Year 2019

  We apply the representation of Lefschetz numbers of iterates in the form of periodic expansion to determine the minimal sets of Lefschetz periods of Morse–Smale diffeomorphisms. Applying this approach we present an algorithmic method of finding the family of minimal sets of Lefschetz periods for Ng, a non-orientable compact surfaces without boundary of genus g. We also partially confirm the conjecture of Llibre and Sirvent (J Diff...

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