160 citations · 778 across the 44 of their papers we have counts for
8 papers · 1 filter
Open Gromov-Witten Invariants of Toric Calabi-Yau 3-Folds
Bohan Fang, Chiu-Chu Melissa Liu
We present a proof of the mirror conjecture of Aganagic-Vafa [arXiv:hep-th/0012041] and Aganagic-Klemm-Vafa [arXiv:hep-th/0105045] on disk enumeration in toric Calabi-Yau 3-folds f…
Orientability in Yang-Mills Theory over Nonorientable Surfaces
Nan-Kuo Ho, Chiu-Chu Melissa Liu, Daniel A. Ramras
In arXiv:math/0605587, the first two authors have constructed a gauge-equivariant Morse stratification on the space of connections on a principal U(n)-bundle over a connected, clos…
Anti-Perfect Morse Stratification
Nan-Kuo Ho, Chiu-Chu Melissa Liu
For an equivariant Morse stratification which contains a unique open stratum, we introduce the notion of equivariant antiperfection, which means the difference of the equivariant M…
Yang-Mills Connections On Orientable and Nonorientable Surfaces
Nan-Kuo Ho, Chiu-Chu Melissa Liu
In math.SG/0605587, we studied Yang-Mills functional on the space of connections on a principal G_R-bundle over a closed, connected, nonorientable surface, where G_R is any compact…
Yang-Mills Connections on Nonorientable Surfaces
Nan-Kuo Ho, Chiu-Chu Melissa Liu
In "The Yang-Mills equations over Riemann surfaces", Atiyah and Bott studied Yang-Mills functional over a Riemann surface from the point of view of Morse theory. We generalize thei…
Connected Components of the Space of Surface Group Representations II
Nan-Kuo Ho, Chiu-Chu Melissa Liu
In math.SG/0303255, we discussed the connected components of the space of surface group representations for any compact connected semisimple Lie group and any closed compact (orien…
Connected Components of The Space of Surface Group Representations
Nan-Kuo Ho, Chiu-Chu Melissa Liu
Let G be a connected, compact, semisimple Lie group. It is known that for a compact closed orientable surface of genus , the order of the group is equal t…
Moduli of J-Holomorphic Curves with Lagrangian Boundary Conditions and Open Gromov-Witten Invariants for an -Equivariant Pair
Chiu-Chu Melissa Liu
Let be a symplectic manifold, be an -tame almost complex structure, and be a Lagrangian submanifold. The stable compactification of the moduli space of parametri…