4 citations · 15 across the 11 of their papers we have counts for
12 papers
A K_T-deformation of the ring of symmetric functions
Allen Knutson, Mathias Lederer
The ring of symmetric functions can be implemented in the homology of \union_{a,b} Gr(a,a+b), the multiplicative structure being defined from the "direct sum" map. There is a natur…
On the cup product for Hilbert schemes of points in the plane
Mathias Lederer
We revisit Ellingsrud and Strø mme's cellular decomposition of the Hilbert scheme of points in the projective plane. We study the product of cohomology classes defined by the closu…
Combinatorial duality of Hilbert schemes of points in the affine plane
Mathias Lederer
The Hilbert scheme of points in the affine plane contains the open subscheme parametrizing distinct points in the affine plane, and the closed subscheme parametrizing ideal…
Connect Four and Graph Decomposition
Laurent Evain, Mathias Lederer, Bjarke Hammersholt Roune
We introduce the standard decomposition, a way of decomposing a labeled graph into a sum of certain labeled subgraphs. We motivate this graph-theoretic concept by relating it to Co…
Bialynicki-Birula schemes in higher dimensional Hilbert schemes of points and monic functors
Laurent Evain, Mathias Lederer
The Bialynicki-Birula strata on the Hilbert scheme are smooth in dimension . We prove that there is a schematic structure in higher dimensions, the Bialyni…
Components of Gröbner strata in the Hilbert scheme of points
Mathias Lederer
We fix the lexicographic order on the polynomial ring over a ring . We define $\Hi^{\precΔ}_{S/k}$, the moduli space of reduced Gröbner bases with…