2020/09/18 by Nath, Arijit, Saha, Kuldeep
#57M50 (Secondary) #57R40 (Primary) 57R17 #FOS: Mathematics #Geometric Topology (math.GT)
paper · doi:10.48550/arxiv.2009.08651
We discuss 4-dimensional achiral Lefschetz fibrations bounding 3-dimensional open books and study their Lefschetz fibration (LF) embedding in a bounded 6-dimensional manifold, in the sense of Ghanwat--Pancholi. As an application we give another proof of the fact that every closed orientable 4-manifold embeds in S2 × S2 × S2 . We also show that every achiral Lefschetz fibration with hyperelliptic monodromy admits LF embedding in D6 = D2 × D4 and discuss an obstruction to such LF embeddings.