Homology of coverings of fibre bundles
Master of Arts
We give a procedure for computing the rank of the first homology group of any finite sheeted covering space M of a fiber bundle M (over S1). Using the associated free abelian groups Fix g* and Fix g1, we find both upper and lower bounds for the rank of H1(M). In particular, using the free differential calculus and the Reidemeister-Schreier method, we derive a formula for computing rank H1(M) directly in a specific case.