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The cascade of electronic phases in CsV$_3$Sb$_5$ raises the prospect todisentangle their mutual interactions in a clean, strongly interacting Kagomelattice. When the Kagome planes are stacked into a crystal, its electronicdimensionality encodes how much of the Kagome physics and its topologicalaspects survive. The layered structure of CsV$_3$Sb$_5$ reflects inBrillouin-zone-sized quasi-2D Fermi surfaces and a significant transportanisotropy. Yet here we demonstrate that CsV$_3$Sb$_5$ is a three-dimensionalmetal within the charge-density-wave (CDW) state. Small 3D pockets play acrucial role in its low-temperature magneto- and quantum transport. Theiremergence at $T_{CDW}\sim 93$ K results in an anomalous sudden increase of thein-plane magnetoresistance by 4 orders of magnitude. The presence of these 3Dpockets is further confirmed by quantum oscillations under in-plane magneticfields - demonstrating their closed nature. These results emphasize the impactof interlayer coupling on the Kagome physics in 3D materials.

3D Fermi surfaces from charge order in layered CsV$_3$Sb$_5$