5 citations · 10 across the 15 of their papers we have counts for
16 papers
Forman--Ricci Curvature for Irregular Convex Mosaics
Abhyudaya Gupta, Sayak Mukherjee, Kuldeep Saha
Forman has defined a discrete version of the Ricci curvature on Riemannian manifolds, known as the Forman--Ricci curvature. The Forman--Ricci curvature has found significant applic…
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…
Topology of matching complexes of complete graphs via discrete Morse theory
Anupam Mondal, Sajal Mukherjee, Kuldeep Saha
Bouc (1992) first studied the topological properties of , the matching complex of the complete graph of order , in connection with Brown complexes and Quillen complexes. Bj…
Discrete Morse theory and the topology of matching complexes of complete graphs
Anupam Mondal, Sajal Mukherjee, Kuldeep Saha
We denote the matching complex of the complete graph with vertices by . Bouc first studied the topological properties of in connection with the Quillen complex. Late…
On Elser's conjecture and the topology of -nucleus complex
Apratim Chakraborty, Anupam Mondal, Sajal Mukherjee +1
Dorpalen-Barry et al. proved Elser's conjecture about sign of Elser's number by interpreting them as certain sums of reduced Euler characteristics of an abstract simplicial complex…
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…
Contact and isocontact embedding of -manifolds
Kuldeep Saha
We prove some contact analogs of smooth embedding theorems for closed -manifolds. We show that a closed, -connected, -manifold of dimension (2n + 1) that bounds a -mani…
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…
On open book embedding of contact manifolds in the standard contact sphere
Kuldeep Saha
We prove some open book embedding results in the contact category. For example, we show that a large class of contact 3-manifolds admit contact open book embedding in the standard…
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…