Mathematical Research Letters

Volume 16 (2009)

Number 3

On certain enumeration problems in two-dimensional topology

Pages: 515 – 529



Vladimir Turaev (Indiana University)


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.

Published 1 January 2009