In arXiv: 1901.02990 v1 the equivariant quantum differential equation ($ qDE $) for a
projective space was considered and a compatible system of difference $ qKZ $ equations …

We present an implementation of the Atiyah-Bott residue formula for M‾ 0, m (P n, d). We use
this implementation to compute a large number of Gromov-Witten invariants of genus 0 …

In this paper, we study the all genus Gromov-Witten theory for any GKM orbifold X. We
generalize the Givental formula which is studied in the smooth case in [41][42][43] to the …

We determine all the extremal Gromov-Witten invariants of the Hilbert scheme of points on a
smooth projective complex surface. Our result for the genus-case verifies a conjecture that …

This article is the research announcement of the paper [Ku21]. The aim of the paper [Ku21]
is to study an equivariant vector bundle over GKM manifolds from combinatorial point of view …

A smooth GKM stack is a smooth Deligne-Mumford stack equipped with an action of an
algebraic torus $ T $, with only finitely many zero-dimensional and one-dimensional orbits.(i) …

We describe an attempt to make quantum K-theory (of stable maps) more amenable to the
self-duality/rigidity arguments of arXiv: 1512.07363 in quasimap theory, by twisting the …

Based on the work of Goresky-Kottwitz-MacPherson, Guilleminn-Zara make a connection
between some nice manifolds with torus actions (GKM manifolds) and labeled graphs (GKM …

GKM manifold - survey Page 1 GKM manifold - survey Shintarô Kuroki Abstract. Continued from
the previous article about GKM manifold -definition [28], in this article, we survey some …

A class of manifold, now referred to as GKM manifold, was first discussed in the seminal
work by Goresky-Kottwitz-MacPherson in [8] to study the relation between the equivariant …