7 citations · 11 across the 9 of their papers we have counts for
12 papers
Infinitesimal automorphisms and obstruction theory on the moduli of -valued -Higgs bundles
Sanghyeon Lee, Sang-Bum Yoo
For an arbitrary reductive group , we compute the infinitesimal automorphisms of -valued principal -Higgs bundles over a compact Kähler manifold , extending known resul…
A chain of -flips of the moduli spaces of -twisted rank 2 constrained framed Hitchin pairs on a smooth curve
YongJoo Shin, Sang-Bum Yoo
Let be a smooth complex projective curve. We prove that there exists a surjective commutative forgetful diagram from the chain of -flips of the moduli spaces of…
Virtual Poincare polynomial of moduli space of semistable sheaves of rank two on reducible curves
Sukmoon Huh, Dongsun Lim, Sang-Bum Yoo
The main purpose of this paper is to give an explicit description of the moduli space of semistable sheaves of rank two on a stable curve C obtained by gluing two smooth curves at…
A geometry of the moduli space of Higgs pairs on an irreducible nodal curve of arithmetic genus one
Sang-Bum Yoo
We describe the moduli space of Higgs pairs on an irreducible nodal curve of arithmetic genus one and its geometric structures in terms of the Hitchin map and a flat degeneration o…
Rational curves in a quadric threefold via an -representation
Kiryong Chung, Sukmoon Huh, Sang-Bum Yoo
In this paper, we regard the smooth quadric threefold as Lagrangian Grassmannian and search for fixed rational curves of low degree in with respect to a torus actio…
A blowing-up formula for the intersection cohomology of the moduli of rank 2 Higgs bundles over a curve with trivial determinant
Sang-Bum Yoo
We prove that a blowing-up formula for the intersection cohomology of the moduli space of rank 2 Higgs bundles over a curve with trivial determinant holds. As an application, we de…