论文标题
k理论的tutte多项式的拟人型
K-theoretic Tutte polynomials of morphisms of matroids
论文作者
论文摘要
我们通过国旗品种的K理论将矩形的tutte多项式概括为矩形的形态。我们介绍了两种不同的概括,并证明每个概况都有其自己的优点,在易于组合和几何形状之间取舍。一个概括恢复了基质形态的las vergnas tutte多项式,该象征性的态度为核心毫无用说的公式和缺失征收递归。另一个概括不是,但更好地反映了国旗品种的几何形状。
We generalize the Tutte polynomial of a matroid to a morphism of matroids via the K-theory of flag varieties. We introduce two different generalizations, and demonstrate that each has its own merits, where the trade-off is between the ease of combinatorics and geometry. One generalization recovers the Las Vergnas Tutte polynomial of a morphism of matroids, which admits a corank-nullity formula and a deletion-contraction recursion. The other generalization does not, but better reflects the geometry of flag varieties.