Results 51 to 60 of about 149 (98)

Vanishing of Schubert coefficients via the effective Hilbert nullstellensatz

Forum of Mathematics, Sigma
Schubert Vanishing is a problem of deciding whether Schubert coefficients are zero. Until this work it was open whether this problem is in the polynomial hierarchy ${{\mathsf {PH}}}$ .
Igor Pak, Colleen Robichaux
doaj   +1 more source

Free fermionic probability theory and k-theoretic schubert calculus

Forum of Mathematics, Sigma
For each of the four particle processes given by Dieker and Warren, we show the n-step transition kernels are given by the (dual) (weak) refined symmetric Grothendieck functions up to a simple overall factor. We do so by encoding the particle dynamics as
Shinsuke Iwao, Kohei Motegi, Travis Scrimshaw   +2 more
doaj   +1 more source

The geometries of Jordan nets and Jordan webs. [PDF]

Ann Mat Pura Appl, 2022
Bik A, Eisenmann H, Eisenmann H.
europepmc   +1 more source

Grassmannians and Cluster Structures. [PDF]

Bull Iran Math Soc, 2021
Baur K.
europepmc   +1 more source

Vector bundles on rational homogeneous spaces. [PDF]

Ann Mat Pura Appl, 2021
Du R, Fang X, Gao Y.
europepmc   +1 more source

Borel-type presentation of the torus-equivariant quantum K-ring of flag manifolds of type C

Forum of Mathematics, Sigma
We give a presentation of the torus-equivariant (small) quantum K-ring of flag manifolds of type C as an explicit quotient of a Laurent polynomial ring; our presentation can be thought of as a quantization of the classical Borel presentation of the ...
Takafumi Kouno, Satoshi Naito
doaj   +1 more source

Characteristic numbers and chromatic polynomial of a tensor

Forum of Mathematics, Sigma
We introduce the characteristic numbers and the chromatic polynomial of a linear subspace of matrices, or equivalently of a tensor. Our approach generalizes and unifies the chromatic polynomial of a graph and of a matroid, characteristic numbers of ...
Austin Conner, Mateusz Michalek
doaj   +1 more source

Virasoro conjecture for the stable pairs descendent theory of simply connected 3-folds (with applications to the Hilbert scheme of points of a surface). [PDF]

J Lond Math Soc, 2022
Moreira M.
europepmc   +1 more source

The quasisymmetric flag variety: A toric complex on noncrossing partitions

Forum of Mathematics, Pi
We develop the geometric theory of equivariant quasisymmetry via a new “quasisymmetric flag variety.” This is a toric complex in the flag variety whose fixed point set is the set of (algebraic) noncrossing partitions, and whose cohomology ring is the ...
Nantel Bergeron, Lucas Gagnon, Philippe Nadeau, Hunter Spink, Vasu Tewari   +4 more
doaj   +1 more source

Degree of the Gaussian graphical model of the cycle

Forum of Mathematics, Sigma
We prove a conjecture due to Sturmfels and Uhler concerning the degree of the projective variety associated to the Gaussian graphical model of the cycle. We involve new methods based on the intersection theory on the space of complete quadrics.
Rodica Andreea Dinu, Mateusz Michałek, Martin Vodička   +2 more
doaj   +1 more source