= Richard Sharp
{disambiguate=mathematician}
{c}
<Richard Sharp (mathematician)> works on the geometry of <Anosov flows>. His <Abelian Livšic theorems for Anosov flows by Richard Sharp> gives two short proofs of an earlier abelian Livšic theorem and extends the framework to positive-density sets of null-homologous periodic orbits and amenable covers.<Abelian Livšic theorems for Anosov flows by Richard Sharp>[Author byline and abstract]{ref}
The abelian formulation separates a derivative along the flow from a contribution carried by a closed <differential form>. Integrals over <periodic orbits> record the obstruction to representing a function entirely as such a derivative. This makes orbit data into information about <cohomology> and explains why restricting to null-homologous orbits changes the formulation.<Abelian Livšic theorems for Anosov flows by Richard Sharp>[Introduction and main theorems]{ref}
Back to article page
