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.
2014
104
4
451
464
https://arxiv.org/abs/1306.2617
https://zbmath.org/?q=an:06358064
http://www.ams.org/mathscinet/search/publdoc.html?arg3=&co4=AND&co5=AND&co6=AND&co7=AND&dr=all&pg4=AUCN&pg5=TI&pg6=PC&pg7=ALLF&pg8=ET&r=1&review_format=html&s4=&s5=On%20the%20Number%20of%20Type%20Change%20Loci%20of%20a%20Generalized%20Complex%20Structure&s6=&s7=&s8=All&sort=Newest&vfpref=html&yearRangeFirst=&yearRangeSecond=&yrop=eq
Torres Ruiz, R.; Yazinski, J.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/20.500.11767/32574
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