6 feb 2018 -- 14:30
Aula 5, Dipartimento di Matematica dell'Università di Torino
Abstract.
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:
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.
2 O. Macia, A. F. Swann, Twist geometry of the c-map, Comm. Math. Phys. 336 (2015), 1329–1357.
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)
4 A.F. Swann, "Twisting Hermitian and hypercomplex geometries", Duke Math. J. Volume 155, Number 2 (2010), 403-431.