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pro vyhledávání: '"Nguyen, Minh Lam"'
Autor:
Nguyen, Minh Lam
In this paper, we study a model for $S^1$-equivariant monopole Floer homology for rational homology three-spheres via a homological device called $\mathcal{S}$-complex. Using the Chern-Simons-Dirac functional, we define an $\mathbf{R}$-filtration on
Externí odkaz:
http://arxiv.org/abs/2409.04954
Autor:
Blair, William L., Nguyen, Minh Lam
Clifford Taubes showed that the moduli space of the variational equation of the Yang-Mills-Higgs functional on the plane is non-empty, and its elements correspond to "vortices". Inspired by this result, in this paper, we show that the moduli space of
Externí odkaz:
http://arxiv.org/abs/2406.20043
We show the non-compactness of moduli space of solutions of the monopole equations for $3/2$-spinors on a closed 3-manifold is equivalent to the existence of `3/2-Fueter sections' that are solutions of an overdetermined non-linear elliptic differenti
Externí odkaz:
http://arxiv.org/abs/2405.12956
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 operator called the Rarita-Schwinger operator. In dimension four, the
Externí odkaz:
http://arxiv.org/abs/2311.11902
Autor:
Nguyen, Minh Lam
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 K\"ahler surfaces has a direct relation with ASD connections of holomorphic vector
Externí odkaz:
http://arxiv.org/abs/2301.09693
Autor:
Nguyen, Minh Lam
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 proof of Donaldson's theorem using the standard Seiberg-Witten theory,
Externí odkaz:
http://arxiv.org/abs/2301.10245
Autor:
Nguyen, Minh Lam
We define a variant of the Seiberg-Witten equations using the Rarita-Schwinger operators for closed simply connected spin smooth 4-manifold X. The moduli space of solutions to the system of non-linear differential equations consist of harmonic 3/2-sp
Externí odkaz:
http://arxiv.org/abs/2206.02907
Akademický článek
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Publikováno v:
International Journal of Geotechnical Engineering; Feb2024, Vol. 18 Issue 2, p119-132, 14p
