From Hypercomplex to Holomorphic Symplectic Structures

Published: February 12, 2013PDF arXiv

Abstract

The notions of holomorphic symplectic structures and hypercomplex structures on Courant algebroids are introduced and then proved to be equivalent. These generalize hypercomplex triples and holomorphic symplectic 2-forms on manifolds respectively. Basic properties of such structures are established.

From Hypercomplex to Holomorphic Symplectic Structures

Wei Hong, Mathieu Stiénon

math.DG hep-th math.SG

Published: February 12, 2013PDF arXiv

Abstract

The notions of holomorphic symplectic structures and hypercomplex structures on Courant algebroids are introduced and then proved to be equivalent. These generalize hypercomplex triples and holomorphic symplectic 2-forms on manifolds respectively. Basic properties of such structures are established.