6 citations · 9 across the 10 of their papers we have counts for
12 papers · 1 filter
Polynomially knotted 2-spheres
Rama Mishra, Tumpa Mahato
We review the polynomial parameterization of classical knots and prove the analogous results for long knots. We also construct polynomial parameterizations for certain classes…
Plat closures of spherical braids in
Rama Mishra, Visakh Narayanan
We define plat closure for spherical braids to obtain links in and prove that all links in can be realized in this manner. Given a spherical braid $…
On the geometry of two state models for the colored Jones polynomial
Uwe Kaiser, Rama Mishra
Using the flow property of the R-matrix defining the colored Jones polynomial, we establish a natural bijection between the set of states on the part arc-graph of a link projection…
Geometry of knots in real projective -space
Rama Mishra, Visakh Narayanan
This paper discusses some geometric ideas associated with knots in real projective 3-space . These ideas are borrowed from classical knot theory. Since knots in $\ma…
Hecke algebra trace algorithm and some conjectures on weaving knots
Rama Mishra, Hitesh Raundal
Computing polynomial invariants for knots and links using braid representations relies heavily on finding the trace of Hecke algebra elements. There is no easy method known for com…
Polynomial Invariants, Knot Homologies, and Higher Twist Numbers of Weaving Knots
Rama Mishra, Ross Staffeldt
We investigate several conjectures in geometric topology by assembling computer data obtained by studying weaving knots, a doubly infinite family of examples of hyperbolic…