In this note, four-manifold theory is employed to study the existence of (twisted) generalized complex structures. It is shown that there exist (twisted) generalized complex structures that have more than one type change loci. In an example-driven fashion, (twisted) generalized complex structures are constructed on a myriad of four-manifolds, both simply and non-simply connected, which are neither complex nor symplectic. 1
We extend the notion of (smooth) stable generalized complex structures to allow for an anticanonical...
Abstract. We define and study branched shadows of 4-manifolds as a combination of branched spines of...
Torus surgeries in dimension four (or called $C^\infty$-log transformations) have been widely employ...
In this note, four-manifold theory is employed to study generalized com- plex structures. We drastic...
In this note, four-manifold theory is employed to study generalized com- plex structures. We drastic...
In this note, we describe a procedure to construct generalized complex structures whose type change ...
University of Minnesota Ph.D. dissertation. May 2013. Major: Mathematics. Advisor: Tian-Jun Li. 1 co...
We introduce blow-up and blow-down operations for generalized complex 4-manifolds. Combining these w...
We analyze the symplectic and complex structures on the panelled web 4-manifolds of S. Akbulut and M...
We analyze the symplectic and complex structures on the panelled web 4-manifolds of S. Akbulut and M...
AbstractWe analyze the symplectic and complex structures on the panelled web 4-manifolds of S. Akbul...
On a smooth manifold MM, generalized complex (generalized paracomplex) structures provide a notion o...
We study a number of local and global classification problems in generalized complex geometry. Genera...
We study a number of local and global classification problems in generalized complex geometry. Genera...
We extend the notion of (smooth) stable generalized complex structures to allow for an anticanonical...
We extend the notion of (smooth) stable generalized complex structures to allow for an anticanonical...
Abstract. We define and study branched shadows of 4-manifolds as a combination of branched spines of...
Torus surgeries in dimension four (or called $C^\infty$-log transformations) have been widely employ...
In this note, four-manifold theory is employed to study generalized com- plex structures. We drastic...
In this note, four-manifold theory is employed to study generalized com- plex structures. We drastic...
In this note, we describe a procedure to construct generalized complex structures whose type change ...
University of Minnesota Ph.D. dissertation. May 2013. Major: Mathematics. Advisor: Tian-Jun Li. 1 co...
We introduce blow-up and blow-down operations for generalized complex 4-manifolds. Combining these w...
We analyze the symplectic and complex structures on the panelled web 4-manifolds of S. Akbulut and M...
We analyze the symplectic and complex structures on the panelled web 4-manifolds of S. Akbulut and M...
AbstractWe analyze the symplectic and complex structures on the panelled web 4-manifolds of S. Akbul...
On a smooth manifold MM, generalized complex (generalized paracomplex) structures provide a notion o...
We study a number of local and global classification problems in generalized complex geometry. Genera...
We study a number of local and global classification problems in generalized complex geometry. Genera...
We extend the notion of (smooth) stable generalized complex structures to allow for an anticanonical...
We extend the notion of (smooth) stable generalized complex structures to allow for an anticanonical...
Abstract. We define and study branched shadows of 4-manifolds as a combination of branched spines of...
Torus surgeries in dimension four (or called $C^\infty$-log transformations) have been widely employ...