Guangbo Xu

activity

20072026

most citedMorse theory for Lagrange multipliers and adiabatic limits

7 citations · 37 across the 26 of their papers we have counts for

collaborators

Showing 2012Show all

3 papers · 1 filter

math.GT2012★ 7 cited

Morse theory for Lagrange multipliers and adiabatic limits

Stephen Schecter, Guangbo Xu

Given two Morse functions $f, μ$ on a compact manifold $M$ , we study the Morse homology for the Lagrange multiplier function on $M \times R$ which sends $(x, η)$ to $f(x)…

math.SG2012★ 2 cited

U(1)-vortices and quantum Kirwan map

Guangbo Xu

We study the symplectic vortex equation over the complex plane, for the target space $C^{N}$ ( $N \geq 2$ ) with diagonal U(1)-action. We classify all solutions with finite en…

math.SG2012★ 3 cited

Moduli space of twisted holomorphic maps with Lagrangian boundary condition: compactness

Guangbo Xu

Let $(X, ω)$ be a compact symplectic manifold and $L$ be a Lagrangian submanifold. Suppose $(X, L)$ has a Hamiltonian $S^{1}$ action with moment map $μ$ . Take an invariant $ω$ -compat…