14 citations · 18 across the 2 of their papers we have counts for
3 papers
math.GT2007★ 14 cited
Introduction to the Gopakumar-Vafa Large N Duality
Dave Auckly, Sergiy Koshkin
Gopakumar-Vafa large N duality is a correspondence between Chern-Simons invariants of a link in a 3-manifold and relative Gromov-Witten invariants of a 6-dimensional symplectic man…
math-ph2006★ 4 cited
Homogeneous spaces and Faddeev-Skyrme models
Sergiy Koshkin
We study geometric variational problems for a class of effective models in quantum field theory known as Faddeev-Skyrme models. Mathematically one considers minimizing an energy fu…
math.DG2005
Conormal bundles to knots and the Gopakumar-Vafa conjecture
Sergiy Koshkin
We offer a new construction of Lagrangian submanifolds for the Gopakumar-Vafa conjecture relating the Chern-Simons theory on the 3-sphere and the Gromov-Witten theory on the resolv…