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math.DS2007
Free curves and periodic points for torus homeomorphisms
Alejandro Kocsard, Andres Koropecki
We study the relationship between free curves and periodic points for torus homeomorphisms in the homotopy class of the identity. By free curve we mean a homotopically nontrivial s…
math.DS2007★ 4 cited
Toward the classification of cohomology-free vector fields
Alejandro Kocsard
In 1984, Anatole Katok conjectured that the only closed orientable manifolds that support cohomology-free vector fields are tori and these vector fields are smoothly conjugated to…