6 papers
Spectral invariants and equivariant monopole Floer homology for rational homology three-spheres
Minh Lam Nguyen
In this paper, we study a model for -equivariant monopole Floer homology for rational homology three-spheres via a homological device called -complex. Using the C…
On the Existence of Solutions to the Seiberg-Witten Vortex Equations with Exponential Decay on the Plane
William L. Blair, Minh Lam Nguyen
Clifford Taubes showed that the moduli space of the variational equations of the Yang-Mills-Higgs functional on the plane is non-empty, and its elements correspond to "vortices". I…
A Fueter Operator for 3/2-spinors
Ahmad Reza Haj Saeedi Sadegh, Minh Lam Nguyen, Jesus Sanchez
We show the non-compactness of the moduli space of solutions with a uniform bound on the curvatures of the monopole equations for -spinors on a closed 3-manifold is equivalent…
The three-dimensional Seiberg-Witten equations for 3/2-spinors: a compactness theorem
Ahmad Reza Haj Saeedi Sadegh, Minh Lam Nguyen
The Rarita-Schwinger-Seiberg-Witten (RS-SW) equations are defined similarly to the classical Seiberg-Witten equations, where a geometric non-Dirac-type operator replaces the Dirac…
The Seiberg-Witten equations for multiple-spinors on manifolds with definite intersection forms
Minh Lam Nguyen
In this note, we present a proof of Donaldson's Diagonalization Theorem via an abelian gauge-theoretic variant of the Seiberg-Witten equations for multiple spinors. Like the other…
An abelian gauge-theoretic variant of the Seiberg-Witten equations for multiple-spinors
Minh Lam Nguyen
We consider a variant of the Seiberg-Witten equations for multiple-spinors. The moduli space of solutions to our generalized Seiberg-Witten equations in the setting of Kähler surfa…