Sesión Geometría y Topología

Diciembre 14, 17:30 ~ 17:50

Elementary deformations and the Hyperkaehler/Quaternionic Kaehler correspondence

Macia , Oscar

This talk will be an introduction of the twist construction [4] and its application to the description of the c-map [1] between projective special Kaehler, and quaternionic-Kaehler manifolds. Based on joint work [2,3] with Andrew Swann.\\ References: \noindent [1] S. Cecotti, S. Ferrara, L. Girardello "Geometry of Type II Superstrings and the Moduli of Superconformal Field Theories" , Int. J. Mod. Phys. A4 (1989), 2475-2529. \noindent [2] O. Macia, A. F. Swann, Twist geometry of the c-map, Comm. Math. Phys. 336 (2015), 1329–1357. \noindent [3] O. Macia, A. F. Swann, Elementary deformations and the hyperKähler-quaternionic Kähler correspondence, in Real and complex submanifolds , 339–347, Springer Proc. Math. Stat. 106 (2014) \noindent [4] A.F. Swann, "Twisting Hermitian and hypercomplex geometries", Duke Math. J. Volume 155, Number 2 (2010), 403-431.

Autores: Macia , Oscar / Swann, Andrew .