5 citations · 10 across the 15 of their papers we have counts for
9 papers · 1 filter
A note on codimension spun embedding
Sneha Banerjee, Shital Lawande, Subhadeep Rana +1
We prove that if a closed manifold is a connected component of the binding of an open book decomposition of a manifold , then every open book decomposition of spun embed…
4-manifolds and non-existence of open book
Shital Lawande, Kuldeep Saha
Following a recent work of Kastenholz, we show existence of infinitely many parallelizable closed oriented 4-manifolds, none of which admit an open book decomposition. This implies…
Twist maps and codimension-1 spun embeddings
Shital Lawande, Kuldeep Saha
We study codimension embeddings preserving open book structures. In particular, we prove that every closed orientable 3-manifold admits a codimension-1 spun embedding in a fini…
A topologically extendible mapping class that is not smoothly extendible
Shital Lawande, Kuldeep Saha
We give an example of a smooth characteristic embedding of a torus in $\s^2 \times \s^2 \# \s^1 \times \s^3$ such that there exists no diffeomorphism of the ambient -manifold th…
Surfaces in 4-manifolds and extendible mapping classes
Shital Lawande, Kuldeep Saha
We study smooth proper embeddings of compact orientable surfaces in compact orientable -manifolds and elements in the mapping class group of that surface which are induced by di…
A note on embedding of achiral Lefschetz fibrations
Arijit Nath, Kuldeep Saha
We discuss -dimensional achiral Lefschetz fibrations bounding -dimensional open books and study their Lefschetz fibration (LF) embedding in a bounded -dimensional manifold…
Periodic Surface Homeomorphisms and Contact Structures
Dheeraj Kulkarni, Kashyap Rajeevsarathy, Kuldeep Saha
Periodic surface homemorphisms (diffeomorphisms) play a significant role in the the Nielsen-Thurston classification of surface homeomorphisms. Periodic surface homeomorphisms can b…
On open books and embedding of smooth and contact manifolds
Arijit Nath, Kuldeep Saha
We discuss embedding of manifolds in the category of open books, contact manifolds and contact open books. We prove an open book version of the Haefliger--Hirsch embedding theorem…
Embeddings of --manifolds via open books
Dishant M. Pancholi, Suhas Pandit, Kuldeep Saha
In this note, we discuss embeddings of --manifolds via open books. First we show that every open book of every closed orientable --manifold admits an open book embedding in a…