5 citations · 10 across the 15 of their papers we have counts for
6 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…
Corrigendum to "Topology of matching complexes of complete graphs via discrete Morse theory'' [arXiv:2305.02973, Discrete Math. Theor. Comput. Sci. 26:3#13 (2024)]
Anupam Mondal, Sajal Mukherjee, Kuldeep Saha
In this corrigendum to arXiv:2305.02973, we justify that the motivation behind Conjecture 5.1 is based on a mistaken notion. Moreover, we prove a stronger theorem that disproves 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…