2 citations · 5 across the 3 of their papers we have counts for
3 papers
math.GT2012★ 1 cited
A state sum invariant of tangles in surfaces
Peter M. Johnson, Sóstenes Lins
In this paper we define a new state sum based on the regions defined by tangles on a surface which is an oriented closed surface with a finite number of open holes drilled. From th…
math.GT2012★ 2 cited
A graphical calculus for tangles in surfaces
Peter M. Johnson, Sóstenes Lins
We show how the theory of tangles is equivalent to that of well-connected tangles. These are drawn on a surface with boundary, and equivalent via Reidemeister moves of a restricted…
math.AG2011★ 2 cited
Inverses of monomial Cremona maps
Peter M. Johnson
We show that monomial Cremona maps of degree d on P^n can have inverses whose degree d' is quite large (for d > 2, d' = ((d-1)^n - 1)/(d-2) occurs), and that the full list of degre…