3 papers
math.GT2026
Exotic 4-manifolds and Khovanov-Lipshitz-Sarkar homotopy type
Louis H. Kauffman, Igor M. Nikonov, Eiji Ogasa
We introduce a new diffeomorphism invariant of smooth compact oriented 4-manifolds with a framed oriented 1-link in the boundary, where may be the empty set, and call i…
math.GT2026
Parametrizing some interesting knotted surfaces
Louis H. Kauffman, Tumpa Mahato, Rama Mishra
We discuss methods to construct a polynomial parametrization of some interesting knotted surfaces (knotted spheres, knotted tori and knotted planes) and provide examples.
math.GT2025
Knots in
Louis H. Kauffman, Rama Mishra, Visakh Narayanan
This paper studies knots in three dimensional projective space. Our technique is to associate a virtual link to a link in projective space so that equivalent projective links go to…