Seiberg-Witten monopoles and Thom’s conjecture (after Kronheimer, Mrowka and Witten). (Monopôles de Seiberg-Witten et conjecture de Thom (d’après Kronheimer, Mrowka et Witten).) (French) Zbl 0881.57035

Bennequin, Daniel

Séminaire Bourbaki. Volume 1995/96. Exposés 805–819. Paris: Société Mathématique de France, Astérisque. 241, 59-96, Exp. No. 807 (1997).

In this large survey the following subjects are treated : the structure \(Spin^c\), the Clifford algebra, the Dirac equations, the Seiberg-Witten equations, the Thom conjecture. The last section contains a discussion of the implications to modern physics of the presented results.
For the entire collection see [Zbl 0866.00026].

Reviewer: M.Anastasiei (Iaşi)

MSC:

57R57	Applications of global analysis to structures on manifolds
58J90	Applications of PDEs on manifolds
57M25	Knots and links in the \(3\)-sphere (MSC2010)
57M50	General geometric structures on low-dimensional manifolds
57R15	Specialized structures on manifolds (spin manifolds, framed manifolds, etc.)
14H99	Curves in algebraic geometry
81T13	Yang-Mills and other gauge theories in quantum field theory
81T60	Supersymmetric field theories in quantum mechanics

Keywords:

spin structures; Clifford algebra; Seiberg-Witten equations