Results 61 to 70 of about 515 (73)

A presentation of the torus-equivariant quantum K-theory ring of flag manifolds of type A, Part II: quantum double Grothendieck polynomials

open access: yesForum of Mathematics, Sigma
In our previous paper, we gave a presentation of the torus-equivariant quantum K-theory ring $QK_{H}(Fl_{n+1})$ of the (full) flag manifold $Fl_{n+1}$ of type $A_{n}$ as a quotient of a polynomial ring by an explicit ideal.
Toshiaki Maeno   +2 more
doaj   +1 more source

Relative quantum cohomology of the Chiang Lagrangian

open access: yesForum of Mathematics, Sigma
We compute the open Gromov-Witten disk invariants and the relative quantum cohomology of the Chiang Lagrangian $L_\triangle \subset \mathbb {C}P^3$ .
Anna Hollands   +4 more
doaj   +1 more source

Real aspects of the moduli space of genus zero stable maps

open access: yes, 2007
We show that the moduli space of genus zero stable maps is a real projective variety if the target space is a smooth convex real projective variety. We show that evaluation maps, forgetful maps are real morphisms.
Kwon, Seongchun
core   +1 more source

Flags of sheaves, quivers and symmetric polynomials

open access: yesForum of Mathematics, Sigma
We study a quiver description of the nested Hilbert scheme of points on the affine plane and its higher rank generalization – that is, the moduli space of flags of framed torsion-free sheaves on the projective plane.
Giulio Bonelli   +2 more
doaj   +1 more source

Quantum K theory of Grassmannians, Wilson line operators and Schur bundles

open access: yesForum of Mathematics, Sigma
We prove a ‘Whitney’ presentation, and a ‘Coulomb branch’ presentation, for the torus equivariant quantum K theory of the Grassmann manifold $\mathrm {Gr}(k;n)$ , inspired from physics, and stated in an earlier paper.
Wei Gu   +3 more
doaj   +1 more source

A short proof of the multiple cover formula for point insertions

open access: yesForum of Mathematics, Sigma
A few years ago, G. Oberdieck conjectured a multiple cover formula that determines the number of curves of fixed genus and degree passing through a configuration of points in an abelian surface.
Thomas Blomme
doaj   +1 more source

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

open access: yesForum 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

Quasimaps to moduli spaces of sheaves on a $K3$ surface

open access: yesForum of Mathematics, Sigma
In this article, we study quasimaps to moduli spaces of sheaves on a $K3$ surface S. We construct a surjective cosection of the obstruction theory of moduli spaces of $\epsilon $ -stable quasimaps.
Denis Nesterov
doaj   +1 more source

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