On certain enumeration problems in two-dimensional topology

Vladimir Turaev
2009 Mathematical Research Letters  
We announce a solution to several enumeration problems in topology of surfaces. This includes an enumeration of homotopy classes of sections of locally trivial fiber bundles over surfaces and a computation of non-abelian 1-cohomology of surfaces.
doi:10.4310/mrl.2009.v16.n3.a11 fatcat:ewtu3ttanbdf5b3x5uqifqsq4u