Gröbner geometry of Schubert polynomials
A Knutson, E Miller - Annals of Mathematics, 2005 - JSTOR
Given a permutation, we consider a determinantal ideal whose generators are certain
minors in the generix n× n matrix (filled with independent variables). Using'multidegrees' as …
minors in the generix n× n matrix (filled with independent variables). Using'multidegrees' as …
Four positive formulae for type A quiver polynomials
We give four positive formulae for the (equioriented type A) quiver polynomials of Buch and
Fulton [BF99]. All four formulae are combinatorial, in the sense that they are expressed in …
Fulton [BF99]. All four formulae are combinatorial, in the sense that they are expressed in …
Characteristic classes of orbit stratifications, the axiomatic approach
Consider a complex algebraic group G acting on a smooth variety M with finitely many orbits,
and let Ω be an orbit. The following three invariants of Ω ⊂ M can be characterized …
and let Ω be an orbit. The following three invariants of Ω ⊂ M can be characterized …
Schur and Schubert polynomials as Thom polynomials—cohomology of moduli spaces
The theory of Schur and Schubert polynomials is revisited in this paper from the point of view
of generalized Thom polynomials. When we apply a general method to compute Thom …
of generalized Thom polynomials. When we apply a general method to compute Thom …
On the cohomological Hall algebra of Dynkin quivers
R Rimányi - arxiv preprint arxiv:1303.3399, 2013 - arxiv.org
Consider the Cohomological Hall Algebra as defined by Kontsevich and Soibelman,
associated with a Dynkin quiver. We reinterpret the geometry behind the multiplication map …
associated with a Dynkin quiver. We reinterpret the geometry behind the multiplication map …
The general quadruple point formula
Maps between manifolds $ M^ m\to N^{m+\ell} $($\ell0 $) have multiple points, and more
generally, multisingularities. The closure of the set of points where the map has a particular …
generally, multisingularities. The closure of the set of points where the map has a particular …
Geometry of fibers of the multiplication map of deep linear neural networks
We study the geometry of the algebraic set of tuples of composable matrices which multiply
to a fixed matrix, using tools from the theory of quiver representations. In particular, we …
to a fixed matrix, using tools from the theory of quiver representations. In particular, we …
Equivariant classes of matrix matroid varieties
To each subset I of f1;:::; kg associate an integer rI/. Denote by X the collection of those nk
matrices for which the rank of a union of columns corresponding to a subset I is rI/, for all I …
matrices for which the rank of a union of columns corresponding to a subset I is rI/, for all I …
Quiver polynomials in iterated residue form
R Rimanyi - Journal of Algebraic Combinatorics, 2014 - Springer
Quiver polynomials in iterated residue form | SpringerLink Skip to main content Advertisement
SpringerLink Log in Menu Find a journal Publish with us Search Cart 1.Home 2.Journal of …
SpringerLink Log in Menu Find a journal Publish with us Search Cart 1.Home 2.Journal of …
A formula for non-equioriented quiver orbits of type A
AS Buch, R Rimányi - arxiv preprint math/0412073, 2004 - arxiv.org
We prove a positive combinatorial formula for the equivariant class of an orbit closure in the
space of representations of an arbitrary quiver of type $ A $. Our formula expresses this …
space of representations of an arbitrary quiver of type $ A $. Our formula expresses this …