بررسی ابرپتانسیل های موثر n=2 به روش seiberg-witten

Refined Seiberg-witten Invariants

In the past two decades, gauge theoretic methods became indispensable when considering manifolds in dimension four. Initially, research centred around the moduli spaces of Yang-Mills instantons. Simon Donaldson had introduced the instanton equations into the field. Using cohomological data of the corresponding moduli spaces, he defined invariants which could effectively distinguish differentiab...

Grafting Seiberg-Witten monopoles

We demonstrate that the operation of taking disjoint unions of J -holomorphic curves (and thus obtaining new J -holomorphic curves) has a Seiberg-Witten counterpart. The main theorem asserts that, given two solutions (Ai, ψi), i = 0, 1 of the Seiberg-Witten equations for the Spin -structures W Ei = Ei ⊕ (Ei ⊗K −1) (with certain restrictions), there is a solution (A,ψ) of the Seiberg-Witten equa...

INTEGRABILITY and SEIBERG-WITTEN THEORY

A summary of results is presented, which provide exact description of the low-energy 4d N = 2 and N = 4 SUSY gauge theories in terms of 1d integrable systems. Departement of Physics, Graduate School of Science, Osaka University, Toyonaka, Osaka 560, Japan. E-mail address: [email protected] 117259, ITEP, Moscow, Russia. E-mail address: [email protected] This conference i...

Three-dimensional Seiberg-Witten theory

1 The Seiberg-Witten Monopoles 2 §1.1 Spinc structures and Dirac operators on 3-manifolds. . . . . . . . . . . . . . . . . . . 2 §1.2 The Seiberg-Witten equations. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 7 §1.3 Some concrete computations. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 9 §1.3.1 A vanishing result . . . . . . . . . . . . . . . . . . . . . . . . ...

Seiberg – Witten theory : preliminaries DIRAC

Equivariant Seiberg-Witten Floer Homology

3 Morse-Bott theory 30 3.1 Framed moduli space . . . . . . . . . . . . . . . . . . . . . . . . . 31 3.2 Gradient flow lines . . . . . . . . . . . . . . . . . . . . . . . . . . 34 3.3 Relative Morse Index . . . . . . . . . . . . . . . . . . . . . . . . . 35 3.4 Decay estimate . . . . . . . . . . . . . . . . . . . . . . . . . . . . 36 3.5 Transversality of M(Oa, Ob) . . . . . . . . . . . . . . . ...