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The Berry curvature provides a powerful tool to unify several branches ofscience through their geometrical aspect: topology, energy bands, spin andvector fields. While quantum defects -- phase vortices and skyrmions -- havebeen in the spotlight, as rotational entities in condensates, superfluids andoptics, their dynamics in multi-component fields remain little explored. Herewe use two-component microcavity polaritons to imprint a dynamical pseudospintexture in the form of a double full Bloch beam, a conformal continuous vortexbeyond unitary skyrmions. The Berry curvature plays a key role to link variousquantum spaces available to describe such textures. It explains for instancethe ultrafast spiraling in real space of two singular vortex cores, providingin particular a simple expression -- also involving the complex Rabi frequency-- for their intricate velocity. Such Berry connections open new perspectivesfor understanding and controlling highly-structured quantum objects, includingstrongly asymmetric cases or even higher multi-component fields.

Coupled quantum vortex kinematics and Berry curvature in real space