1 citations · 1 across the 4 of their papers we have counts for
5 papers
Supports of Castelnuovo-Mumford polynomials
Elena S. Hafner
The Castelnuovo-Mumford polynomials are the maximal degree components of Grothendieck polynomials. The support of each Castelnuovo-Mumford polynomial is conjectured to be M-convex,…
On the Alexander polynomial of special alternating links
Elena S. Hafner, Karola Mészáros, Alexander Vidinas
The Alexander polynomial (1928) is the first polynomial invariant of links devised to help distinguish links up to isotopy. Fox's conjecture (1962) -- stating that the absolute val…
M-convexity of Grothendieck polynomials via bubbling
Elena S. Hafner, Karola Mészáros, Linus Setiabrata +1
We introduce bubbling diagrams and show that they compute the support of the Grothendieck polynomial of any vexillary permutation. Using these diagrams, we show that the support of…
Log-concavity of the Alexander polynomial
Elena S. Hafner, Karola Mészáros, Alexander Vidinas
The central question of knot theory is that of distinguishing links up to isotopy. The first polynomial invariant of links devised to help answer this question was the Alexander po…
Vexillary Grothendieck Polynomials via Bumpless Pipe Dreams
Elena S. Hafner
Recent work of Pechenik, Speyer, and Weigandt proved a formula for the degree of any Grothendieck polynomial. A distinct formula for the degree of vexillary Grothendieck polynomial…