3 citations · 9 across the 7 of their papers we have counts for
8 papers
The multiplicative structure of the K-theoretical McKay correspondence for the Hilbert scheme of points in the complex plane
Jakub Koncki, Magdalena Zielenkiewicz
We consider the K-theory of the Hilbert scheme of points in the complex plane, which under McKay correspondence is isomorphic to the space of symmetric functions . We prove a…
A note on the push-forward formulas for even orthogonal Grassmannians
Andrzej Weber, Magdalena Zielenkiewicz
We revisit residue formulas for the push-forward in the cohomology of the even orthogonal Grassmannian. This space has two components, and the formula for a single component demand…
Nakajima's creation operators and the Kirwan map
Jakub Koncki, Magdalena Zielenkiewicz
We consider the Hilbert scheme of points in the affine complex plane. We find explicit formulas for the Nakajima's creation operators and their K-theoretic counterparts in terms of…
Residues formulas for the push-forward in K-theory, the case of G2/P
Andrzej Weber, Magdalena Zielenkiewicz
We study residue formulas for push-forward in K-theory of homogeneous spaces. First we review formulas for classical groups, which we derive from a formula for the classical Grassm…
The Gysin homomorphism for homogeneous spaces via residues - PhD Thesis
Magdalena Zielenkiewicz
The subject of this dissertation is the Gysin homomorphism in equivariant cohomology for spaces with torus action. We consider spaces which are quotients of classical semisimple co…
Residue formulas for push-forwards in equivariant cohomology - a symplectic approach
Magdalena Zielenkiewicz
The aim of this paper is to describe how to obtain residue-type formulas for push-forwards in equivariant cohomology, using the Jeffrey-Kirwan nonabelian localization theorem and t…
Integrating Schur polynomials using iterated residues at infinity
Magdalena Zielenkiewicz
In this paper we show examples of computations achieved using the formulas of our previous paper, which express the push-forwards in equivariant cohomology as iterated residues at…
Integration over homogenous spaces for classical Lie groups using iterated residues at infinity
Magdalena Zielenkiewicz
Using the Berline-Vergne integration formula for equivariant cohomology for torus actions, we prove that integrals over Grassmannians (classical, Lagrangian or orthogonal ones) of…