A simplicial set sOb_bullet(M) of Hamiltonian forms in n-plectic geometry is shown to be a Kan complex, supplying an n-groupoid model for observables and a categorified pre-n-Hilbert space via recursive inner products.
Baez and John Huerta
2 Pith papers cite this work. Polarity classification is still indexing.
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Quandles arise from gauge transformation groups on principal bundles, matching generalized Alexander quandles for groups viewed as bundles over a point and extending to Lie and Noether structures in the smooth case.
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A Simplicial Approach to Higher Geometric Quantization
A simplicial set sOb_bullet(M) of Hamiltonian forms in n-plectic geometry is shown to be a Kan complex, supplying an n-groupoid model for observables and a categorified pre-n-Hilbert space via recursive inner products.
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Quandles from gauge transformations
Quandles arise from gauge transformation groups on principal bundles, matching generalized Alexander quandles for groups viewed as bundles over a point and extending to Lie and Noether structures in the smooth case.