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Published May 3, 2023 | public
Journal Article

Special Lagrangian Cycles and Calabi-Yau Transitions

Abstract

We construct special Lagrangian 3-spheres in non-Kähler compact threefolds equipped with the Fu–Li–Yau geometry. These non-Kähler geometries emerge from topological transitions of compact Calabi-Yau threefolds. From this point of view, a conifold transition exchanges holomorphic 2-cycles for special Lagrangian 3-cycles.

Additional Information

Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law. T.C.C is supported in part by NSF CAREER Grant DMS-194452 and an Alfred P. Sloan Fellowship. S.G. is supported by the U.S. Department of Energy, Office of Science, Office of High Energy Physics, under Award No. DE-SC0011632, and by the National Science Foundation under Grant No. NSF DMS 1664227.

Additional details

Created:
August 22, 2023
Modified:
October 25, 2023