2 citations · 2 across the 4 of their papers we have counts for
5 papers · 1 filter
Projective Braids in
Aakash Gupta, Louis H. Kauffman, Rama Mishra
Links in projective space can be represented by diagrams in where the projective plane is represented by a disk with antipodal ident…
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…
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.
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…
The Virtual Spectrum of Linkoids and Open Curves in 3-space
Kasturi Barkataki, Louis H. Kauffman, Eleni Panagiotou
The entanglement of open curves in 3-space appears in many physical systems and affects their material properties and function. A new framework in knot theory was introduced recent…