Moore and Seiberg equations, Topological Field Theories, and Galois Theory
نویسنده
چکیده
The following text is an outline of a review paper on Moore and Seiberg’s equations, Topological (Projective) Field Theories in three dimensions and their relationship with Grothendieck’s second paragraph of the “Esquisse d’un Programme”. Because of schedule and length problems this review paper has not been included in this volume. First of all, we recall the construction of projective topological field theories in three dimensions from solutions to Moore and Seiberg’s equations. We discuss the possible relation between this result and the reconstruction conjecture of the Teichműller tower from its two first floors. Finally, we suggest an explicit translation of the natural action of Gal(Q/Q) into an action on a wide class or three dimensional topological field theories arising from rational conformal field theories in two dimensions. ∗URA 14-36 du CNRS, associée à l’E.N.S. de Lyon, et au L.A.P.P. (IN2P3-CNRS) d’Annecy-le-Vieux The interested reader can contact the author in order to obtain further information.
منابع مشابه
Dimensional reduction of dual topological theories
We describe the reduction from four to two dimensions of the SU(2) Donaldson-Witten theory and the dual twisted Seiberg-Witten theory, i.e. the Abelian topological field theory corresponding to the Seiberg–Witten monopole equations. NBI-HE-96-14 hep-th/9603023 ∗E-mail: [email protected]
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