15 citations · 42 across the 19 of their papers we have counts for
26 papers
Thompson's Group and Virtual Link Theory
Micah Chrisman, Louisa Liles, Melody Molander
Thompson's groups were introduced in 1965 and have since found widespread application in fields as diverse as logic, group theory, homotopy theory, and latt…
bounds on the minimal genus of virtual links
Micah Chrisman, Killian Davis, Anup Poudel
For links , where is a closed orientable surface, we define a Reshetikhin-Turaev invariant with coefficients in $\mathbb{Z}[H…
Lie superalgebra invariants and almost classical knots
Micah Chrisman, Anup Poudel
A virtual link is said to be almost classical (AC) if it has a homologically trivial representative in some thickened surface , where is a closed orientable surf…
Characterization and Further Applications of the Bar-Natan Zh-Construction
Micah Chrisman, Robert G. Todd
Bar-Natan's Zh-construction associates to each component virtual link diagram an component virtual link diagram . If are equivalent virtual link di…
A geometric foundation of virtual knot theory
Micah Chrisman
Virtual knots are defined diagrammatically as a collection of figures, called virtual knot diagrams, that are considered equivalent up to finite sequences of extended Reidemeister…
Hyperbolic Knots and Torsion in Khovanov Homology
Micah Chrisman, Sujoy Mukherjee
In this note, we show that if there is a knot in having torsion in its Khovanov homology, then there are infinitely many hyperbolic knots and infinitely many p…