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Pin^-(2)-monopole equations and intersection forms with local coefficients of 4-manifolds
4-manifold intersection form Seiberg-Witten equations
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2010/12/8
We introduce a variant of the Seiberg-Witten equations, Pin−(2)-monopole equations, and give its applications to intersection forms with local coefficients of 4-manifolds. The first application ...
The Multi-monopole Equations for K\"ahler Surfaces
Multi-monopole Equations K\"ahler Surfaces
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2010/3/17
The purpose of this paper is to introduce a natural generalization of the Seiberg-Witten equations having more than one Spinor field ("monopole") and to study the moduli space of solutions in the case...
A local modification to monopole equations in 8-dimension
Seiberg-Witten monopole equations spinc-structure
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2009/2/18
Monopole equations on 8-manifolds with spin(7) holonomy are given in [1].
In this work we write a local modification of the monopole equations on R8. We
show that these new equations are admit non-t...
A local modification to monopole equations in 8-dimension
Seiberg-Witten monopole equations spinc-structure
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2009/1/8
Monopole equations on 8-manifolds with spin(7) holonomy are given in [1].
In this work we write a local modification of the monopole equations on R8. We
show that these new equations are admit non-t...
Monopole Equations on R8: The Energy Integral
Monopole Equations Energy Integral
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2010/4/15
We discuss the Seiberg-Witten theory in four dimensions and possible generalizations to eight dimensions. We propose an action which is minimized by a set of monopole equations, previously obtained as...