Systolic geometry and topology

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Small values of the Lusternik-Schnirelmann category for manifolds (2008, background): “Our interest in this natural problem was also stimulated in part by our recent work on the comparison of the LS category and the systolic category [24; 23; 22], which was inspired, in turn, by M Gromov’s systolic inequalities [15; 16; 17; 18].”
SPHERE PACKING BOUNDS VIA SPHERICAL CODES (2012, background): “y cannot always achieve it exactly. Maximizing the density for a single-orbit packing in Hnis equivalent to maximizing the systolic ratio of an n-dimensional hyperbolic manifold with nite volume (see [K07] for background on systolic geometry), which makes periodic packings a particularly important c”
No metrics with Positive Scalar Curvatures on Aspherical 5-Manifolds (2020, unknown): “1983], [M.K. 2007], [S.”
Multiboundary wormholes and holographic entanglement (2014, background): “nes between the minimal geodesics, when the gure becomes a hyperbolic regular hexagon. symmetric point, the genus two surface will be the Bolza surface, the most symmetric genus two surface (see e.g. [67] for further discussion of symmetric genus two surfaces). This is most conveniently worked out i”