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- W3100916914 abstract "Quantum holonomies of closed paths on the torus [Formula: see text] are interpreted as elements of the Heisenberg group [Formula: see text]. Group composition in [Formula: see text] corresponds to path concatenation and the group commutator is a deformation of the relator of the fundamental group [Formula: see text] of [Formula: see text], making explicit the signed area phases between quantum holonomies of homotopic paths. Inner automorphisms of [Formula: see text] adjust these signed areas, and the discrete symplectic transformations of [Formula: see text] generate the modular group of [Formula: see text]." @default.
- W3100916914 created "2020-11-23" @default.
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- W3100916914 date "2019-10-07" @default.
- W3100916914 modified "2023-09-22" @default.
- W3100916914 title "Quantum holonomies and the Heisenberg group" @default.
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- W3100916914 doi "https://doi.org/10.1142/s0217732319502560" @default.
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