112 citations · 483 across the 59 of their papers we have counts for
17 papers · 1 filter
Klein bottles in lens spaces
Hansjörg Geiges, Norman Thies
Bredon and Wood have given a complete answer to the embeddability question for nonorientable surfaces in lens spaces. They formulate their result in terms of a recursive formula th…
Surfaces of section for Seifert fibrations
Bernhard Albach, Hansjörg Geiges
We classify global surfaces of section for flows on 3-manifolds defining Seifert fibrations. We discuss branched coverings -- one way or the other -- between surfaces of section fo…
Seifert fibrations of lens spaces over non-orientable bases
Hansjörg Geiges, Christian Lange
We classify the Seifert fibrations of lens spaces where the base orbifold is non-orientable. This is an addendum to our earlier paper `Seifert fibrations of lens spaces'. We correc…
Handle homology of manifolds
Sebastian Durst, Hansjörg Geiges, Marc Kegel
We give an entirely geometric proof, without recourse to cellular homology, of the fact that in the chain complex defined by a handle decomposition of a given manifo…
Parallelisability of 3-manifolds via surgery
Sebastian Durst, Hansjörg Geiges, Jesús Gonzalo Pérez +1
We present two proofs that all closed, orientable 3-manifolds are parallelisable. Both are based on the Lickorish-Wallace surgery presentation; one proof uses a refinement due to K…
Isotopies vis-à-vis level-preserving embeddings
Hansjörg Geiges
Various standard texts on differential topology maintain that the level-preserving map defined by the track of an isotopy of embeddings is itself an embedding. This note describes…