Symplectic geography problem in dimension six
Ahmet Beyaz
TL;DR
This paper reviews the geography problem in four dimensions and extends it to six-dimensional symplectic manifolds, providing examples and discussing the differences in the higher-dimensional case.
Contribution
It introduces the extension of the symplectic geography problem from four to six dimensions and offers concrete examples in the six-dimensional setting.
Findings
Extension of the geography problem to six dimensions
Examples of symplectic manifolds in dimension six
Comparison with the four-dimensional case
Abstract
In this note, the geography problem in dimension four is reviewed and then its extension to dimension six for the symplectic case is explained. Finally some examples in dimension six are provided.
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Taxonomy
TopicsAlgebraic Geometry and Number Theory · Homotopy and Cohomology in Algebraic Topology · Geometry and complex manifolds