In this note, we describe a procedure to construct generalized complex structures whose type change locus has arbitrarily many path components on products of the circle with a connected sum of closed 3-manifolds. As an application, we use the procedure to exhibit such geometric structures on a myriad of simply connected 4-manifolds among many others.
On the Number of Type Change Loci of a Generalized Complex Structure / Torres Ruiz, R.; Yazinski, J.. - In: LETTERS IN MATHEMATICAL PHYSICS. - ISSN 0377-9017. - 104:4(2014), pp. 451-464. [10.1007/s11005-013-0674-x]
On the Number of Type Change Loci of a Generalized Complex Structure
Torres Ruiz, R.;
2014-01-01
Abstract
In this note, we describe a procedure to construct generalized complex structures whose type change locus has arbitrarily many path components on products of the circle with a connected sum of closed 3-manifolds. As an application, we use the procedure to exhibit such geometric structures on a myriad of simply connected 4-manifolds among many others.File in questo prodotto:
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