Lower Bounds For 2-systoles
Similarly, just about the only nontrivial lower bound for a k-systole with k = 2, results from recent work in gauge theory and J-holomorphic curves. The study of lower bounds for the conformal 2-systole of 4-manifolds has led to a simplified proof of the density of the image of the period map, by Jake Solomon.
Read more about this topic: Systolic Geometry
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“At bounds of boundless void.”
—Samuel Beckett (1906–1989)